What is the Greatest Common Factor of 69920 and 69925?

Greatest common factor (GCF) of 69920 and 69925 is 5.

GCF(69920,69925) = 5

We will now calculate the prime factors of 69920 and 69925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69920 and 69925.

How to find the GCF of 69920 and 69925?

We will first find the prime factorization of 69920 and 69925. After we will calculate the factors of 69920 and 69925 and find the biggest common factor number .

Step-1: Prime Factorization of 69920

Prime factors of 69920 are 2, 5, 19, 23. Prime factorization of 69920 in exponential form is:

69920 = 2⁵ × 5¹ × 19¹ × 23¹

Step-2: Prime Factorization of 69925

Prime factors of 69925 are 5, 2797. Prime factorization of 69925 in exponential form is:

69925 = 5² × 2797¹

Step-3: Factors of 69920

List of positive integer factors of 69920 that divides 69920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 19, 20, 23, 32, 38, 40, 46, 76, 80, 92, 95, 115, 152, 160, 184, 190, 230, 304, 368, 380, 437, 460, 608, 736, 760, 874, 920, 1520, 1748, 1840, 2185, 3040, 3496, 3680, 4370, 6992, 8740, 13984, 17480, 34960

Step-4: Factors of 69925

List of positive integer factors of 69925 that divides 69920 without a remainder.

1, 5, 25, 2797, 13985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69920 and 69925. The biggest common factor number is the GCF number.
So the greatest common factor 69920 and 69925 is 5.

Also check out the Least Common Multiple of 69920 and 69925