What is the Greatest Common Factor of 80556 and 80568?

Greatest common factor (GCF) of 80556 and 80568 is 12.

GCF(80556,80568) = 12

We will now calculate the prime factors of 80556 and 80568, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80556 and 80568.

How to find the GCF of 80556 and 80568?

We will first find the prime factorization of 80556 and 80568. After we will calculate the factors of 80556 and 80568 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 80568

Prime factors of 80568 are 2, 3, 373. Prime factorization of 80568 in exponential form is:

80568 = 2³ × 3³ × 373¹

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 80568

List of positive integer factors of 80568 that divides 80556 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 373, 746, 1119, 1492, 2238, 2984, 3357, 4476, 6714, 8952, 10071, 13428, 20142, 26856, 40284

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80556 and 80568. The biggest common factor number is the GCF number.
So the greatest common factor 80556 and 80568 is 12.

Also check out the Least Common Multiple of 80556 and 80568