What is the Greatest Common Factor of 82628 and 82632?

Greatest common factor (GCF) of 82628 and 82632 is 4.

GCF(82628,82632) = 4

We will now calculate the prime factors of 82628 and 82632, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82628 and 82632.

How to find the GCF of 82628 and 82632?

We will first find the prime factorization of 82628 and 82632. After we will calculate the factors of 82628 and 82632 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82632

Prime factors of 82632 are 2, 3, 11, 313. Prime factorization of 82632 in exponential form is:

82632 = 2³ × 3¹ × 11¹ × 313¹

Step-3: Factors of 82628

List of positive integer factors of 82628 that divides 82628 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

Step-4: Factors of 82632

List of positive integer factors of 82632 that divides 82628 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 313, 626, 939, 1252, 1878, 2504, 3443, 3756, 6886, 7512, 10329, 13772, 20658, 27544, 41316

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82628 and 82632. The biggest common factor number is the GCF number.
So the greatest common factor 82628 and 82632 is 4.

Also check out the Least Common Multiple of 82628 and 82632