What is the Greatest Common Factor of 82940 and 82951?

Greatest common factor (GCF) of 82940 and 82951 is 11.

GCF(82940,82951) = 11

We will now calculate the prime factors of 82940 and 82951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82940 and 82951.

How to find the GCF of 82940 and 82951?

We will first find the prime factorization of 82940 and 82951. After we will calculate the factors of 82940 and 82951 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82951

Prime factors of 82951 are 11, 7541. Prime factorization of 82951 in exponential form is:

82951 = 11¹ × 7541¹

Step-3: Factors of 82940

List of positive integer factors of 82940 that divides 82940 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

Step-4: Factors of 82951

List of positive integer factors of 82951 that divides 82940 without a remainder.

1, 11, 7541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82940 and 82951. The biggest common factor number is the GCF number.
So the greatest common factor 82940 and 82951 is 11.

Also check out the Least Common Multiple of 82940 and 82951