What is the Greatest Common Factor of 82940 and 82948?

Greatest common factor (GCF) of 82940 and 82948 is 4.

GCF(82940,82948) = 4

We will now calculate the prime factors of 82940 and 82948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82940 and 82948.

How to find the GCF of 82940 and 82948?

We will first find the prime factorization of 82940 and 82948. After we will calculate the factors of 82940 and 82948 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 82948

Prime factors of 82948 are 2, 89, 233. Prime factorization of 82948 in exponential form is:

82948 = 2² × 89¹ × 233¹

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 82948

List of positive integer factors of 82948 that divides 82940 without a remainder.

1, 2, 4, 89, 178, 233, 356, 466, 932, 20737, 41474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82940 and 82948. The biggest common factor number is the GCF number.
So the greatest common factor 82940 and 82948 is 4.

Also check out the Least Common Multiple of 82940 and 82948