What is the Greatest Common Factor of 82628 and 82633?

Greatest common factor (GCF) of 82628 and 82633 is 1.

GCF(82628,82633) = 1

We will now calculate the prime factors of 82628 and 82633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82628 and 82633.

How to find the GCF of 82628 and 82633?

We will first find the prime factorization of 82628 and 82633. After we will calculate the factors of 82628 and 82633 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 82633

Prime factors of 82633 are 82633. Prime factorization of 82633 in exponential form is:

82633 = 82633¹

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 82633

List of positive integer factors of 82633 that divides 82628 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82628 and 82633. The biggest common factor number is the GCF number.
So the greatest common factor 82628 and 82633 is 1.

Also check out the Least Common Multiple of 82628 and 82633