What is the Greatest Common Factor of 80556 and 80570?

Greatest common factor (GCF) of 80556 and 80570 is 14.

GCF(80556,80570) = 14

We will now calculate the prime factors of 80556 and 80570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80556 and 80570.

How to find the GCF of 80556 and 80570?

We will first find the prime factorization of 80556 and 80570. After we will calculate the factors of 80556 and 80570 and find the biggest common factor number .

Step-1: Prime Factorization of 80556

Prime factors of 80556 are 2, 3, 7, 137. Prime factorization of 80556 in exponential form is:

80556 = 2² × 3¹ × 7² × 137¹

Step-2: Prime Factorization of 80570

Prime factors of 80570 are 2, 5, 7, 1151. Prime factorization of 80570 in exponential form is:

80570 = 2¹ × 5¹ × 7¹ × 1151¹

Step-3: Factors of 80556

List of positive integer factors of 80556 that divides 80556 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 137, 147, 196, 274, 294, 411, 548, 588, 822, 959, 1644, 1918, 2877, 3836, 5754, 6713, 11508, 13426, 20139, 26852, 40278

Step-4: Factors of 80570

List of positive integer factors of 80570 that divides 80556 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1151, 2302, 5755, 8057, 11510, 16114, 40285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80556 and 80570. The biggest common factor number is the GCF number.
So the greatest common factor 80556 and 80570 is 14.

Also check out the Least Common Multiple of 80556 and 80570