What is the Greatest Common Factor of 82624 and 82628?

Greatest common factor (GCF) of 82624 and 82628 is 4.

GCF(82624,82628) = 4

We will now calculate the prime factors of 82624 and 82628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82624 and 82628.

How to find the GCF of 82624 and 82628?

We will first find the prime factorization of 82624 and 82628. After we will calculate the factors of 82624 and 82628 and find the biggest common factor number .

Step-1: Prime Factorization of 82624

Prime factors of 82624 are 2, 1291. Prime factorization of 82624 in exponential form is:

82624 = 2⁶ × 1291¹

Step-2: Prime Factorization of 82628

Prime factors of 82628 are 2, 7, 13, 227. Prime factorization of 82628 in exponential form is:

82628 = 2² × 7¹ × 13¹ × 227¹

Step-3: Factors of 82624

List of positive integer factors of 82624 that divides 82624 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1291, 2582, 5164, 10328, 20656, 41312

Step-4: Factors of 82628

List of positive integer factors of 82628 that divides 82624 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 227, 364, 454, 908, 1589, 2951, 3178, 5902, 6356, 11804, 20657, 41314

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82624 and 82628. The biggest common factor number is the GCF number.
So the greatest common factor 82624 and 82628 is 4.

Also check out the Least Common Multiple of 82624 and 82628