What is the Greatest Common Factor of 82920 and 82925?

Greatest common factor (GCF) of 82920 and 82925 is 5.

GCF(82920,82925) = 5

We will now calculate the prime factors of 82920 and 82925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82920 and 82925.

How to find the GCF of 82920 and 82925?

We will first find the prime factorization of 82920 and 82925. After we will calculate the factors of 82920 and 82925 and find the biggest common factor number .

Step-1: Prime Factorization of 82920

Prime factors of 82920 are 2, 3, 5, 691. Prime factorization of 82920 in exponential form is:

82920 = 2³ × 3¹ × 5¹ × 691¹

Step-2: Prime Factorization of 82925

Prime factors of 82925 are 5, 31, 107. Prime factorization of 82925 in exponential form is:

82925 = 5² × 31¹ × 107¹

Step-3: Factors of 82920

List of positive integer factors of 82920 that divides 82920 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 691, 1382, 2073, 2764, 3455, 4146, 5528, 6910, 8292, 10365, 13820, 16584, 20730, 27640, 41460

Step-4: Factors of 82925

List of positive integer factors of 82925 that divides 82920 without a remainder.

1, 5, 25, 31, 107, 155, 535, 775, 2675, 3317, 16585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82920 and 82925. The biggest common factor number is the GCF number.
So the greatest common factor 82920 and 82925 is 5.

Also check out the Least Common Multiple of 82920 and 82925