What is the Greatest Common Factor of 82925 and 82940?

Greatest common factor (GCF) of 82925 and 82940 is 5.

GCF(82925,82940) = 5

We will now calculate the prime factors of 82925 and 82940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82925 and 82940.

How to find the GCF of 82925 and 82940?

We will first find the prime factorization of 82925 and 82940. After we will calculate the factors of 82925 and 82940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82940

Prime factors of 82940 are 2, 5, 11, 13, 29. Prime factorization of 82940 in exponential form is:

82940 = 2² × 5¹ × 11¹ × 13¹ × 29¹

Step-3: Factors of 82925

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

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

Step-4: Factors of 82940

List of positive integer factors of 82940 that divides 82925 without a remainder.

1, 2, 4, 5, 10, 11, 13, 20, 22, 26, 29, 44, 52, 55, 58, 65, 110, 116, 130, 143, 145, 220, 260, 286, 290, 319, 377, 572, 580, 638, 715, 754, 1276, 1430, 1508, 1595, 1885, 2860, 3190, 3770, 4147, 6380, 7540, 8294, 16588, 20735, 41470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82925 and 82940. The biggest common factor number is the GCF number.
So the greatest common factor 82925 and 82940 is 5.

Also check out the Least Common Multiple of 82925 and 82940