QuestionAugust 26, 2025

The greatest common factor of 350 and 825 is: (1 point) 2 25 10 35

The greatest common factor of 350 and 825 is: (1 point) 2 25 10 35
The greatest common factor of 350 and 825 is:
(1 point)
2
25
10
35

Solution
4.1(283 votes)

Answer

25 Explanation 1. Prime Factorization Find the prime factors of 350 and 825. - 350 = 2 \times 5^2 \times 7 - 825 = 3 \times 5^2 \times 11 2. Identify Common Factors The common prime factor is 5^2. 3. Calculate GCF Multiply the lowest power of common prime factors: 5^2 = 25.

Explanation

1. Prime Factorization<br /> Find the prime factors of 350 and 825. <br />- 350 = $2 \times 5^2 \times 7$<br />- 825 = $3 \times 5^2 \times 11$<br /><br />2. Identify Common Factors<br /> The common prime factor is $5^2$.<br /><br />3. Calculate GCF<br /> Multiply the lowest power of common prime factors: $5^2 = 25$.
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