What is the Greatest Common Factor of 80628 and 80634?

Greatest common factor (GCF) of 80628 and 80634 is 6.

GCF(80628,80634) = 6

We will now calculate the prime factors of 80628 and 80634, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80628 and 80634.

How to find the GCF of 80628 and 80634?

We will first find the prime factorization of 80628 and 80634. After we will calculate the factors of 80628 and 80634 and find the biggest common factor number .

Step-1: Prime Factorization of 80628

Prime factors of 80628 are 2, 3, 6719. Prime factorization of 80628 in exponential form is:

80628 = 2² × 3¹ × 6719¹

Step-2: Prime Factorization of 80634

Prime factors of 80634 are 2, 3, 89, 151. Prime factorization of 80634 in exponential form is:

80634 = 2¹ × 3¹ × 89¹ × 151¹

Step-3: Factors of 80628

List of positive integer factors of 80628 that divides 80628 without a remainder.

1, 2, 3, 4, 6, 12, 6719, 13438, 20157, 26876, 40314

Step-4: Factors of 80634

List of positive integer factors of 80634 that divides 80628 without a remainder.

1, 2, 3, 6, 89, 151, 178, 267, 302, 453, 534, 906, 13439, 26878, 40317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80628 and 80634. The biggest common factor number is the GCF number.
So the greatest common factor 80628 and 80634 is 6.

Also check out the Least Common Multiple of 80628 and 80634