What is the Greatest Common Factor of 82940 and 82953?

Greatest common factor (GCF) of 82940 and 82953 is 13.

GCF(82940,82953) = 13

We will now calculate the prime factors of 82940 and 82953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82940 and 82953.

How to find the GCF of 82940 and 82953?

We will first find the prime factorization of 82940 and 82953. After we will calculate the factors of 82940 and 82953 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 82953

Prime factors of 82953 are 3, 13, 709. Prime factorization of 82953 in exponential form is:

82953 = 3² × 13¹ × 709¹

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 82953

List of positive integer factors of 82953 that divides 82940 without a remainder.

1, 3, 9, 13, 39, 117, 709, 2127, 6381, 9217, 27651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82940 and 82953. The biggest common factor number is the GCF number.
So the greatest common factor 82940 and 82953 is 13.

Also check out the Least Common Multiple of 82940 and 82953