What is the Greatest Common Factor of 80652 and 80667?

Greatest common factor (GCF) of 80652 and 80667 is 3.

GCF(80652,80667) = 3

We will now calculate the prime factors of 80652 and 80667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80652 and 80667.

How to find the GCF of 80652 and 80667?

We will first find the prime factorization of 80652 and 80667. After we will calculate the factors of 80652 and 80667 and find the biggest common factor number .

Step-1: Prime Factorization of 80652

Prime factors of 80652 are 2, 3, 11, 13, 47. Prime factorization of 80652 in exponential form is:

80652 = 2² × 3¹ × 11¹ × 13¹ × 47¹

Step-2: Prime Factorization of 80667

Prime factors of 80667 are 3, 8963. Prime factorization of 80667 in exponential form is:

80667 = 3² × 8963¹

Step-3: Factors of 80652

List of positive integer factors of 80652 that divides 80652 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 47, 52, 66, 78, 94, 132, 141, 143, 156, 188, 282, 286, 429, 517, 564, 572, 611, 858, 1034, 1222, 1551, 1716, 1833, 2068, 2444, 3102, 3666, 6204, 6721, 7332, 13442, 20163, 26884, 40326

Step-4: Factors of 80667

List of positive integer factors of 80667 that divides 80652 without a remainder.

1, 3, 9, 8963, 26889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80652 and 80667. The biggest common factor number is the GCF number.
So the greatest common factor 80652 and 80667 is 3.

Also check out the Least Common Multiple of 80652 and 80667