What is the Greatest Common Factor of 80652 and 80665?

Greatest common factor (GCF) of 80652 and 80665 is 13.

GCF(80652,80665) = 13

We will now calculate the prime factors of 80652 and 80665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80652 and 80665.

How to find the GCF of 80652 and 80665?

We will first find the prime factorization of 80652 and 80665. After we will calculate the factors of 80652 and 80665 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 80665

Prime factors of 80665 are 5, 13, 17, 73. Prime factorization of 80665 in exponential form is:

80665 = 5¹ × 13¹ × 17¹ × 73¹

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 80665

List of positive integer factors of 80665 that divides 80652 without a remainder.

1, 5, 13, 17, 65, 73, 85, 221, 365, 949, 1105, 1241, 4745, 6205, 16133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80652 and 80665. The biggest common factor number is the GCF number.
So the greatest common factor 80652 and 80665 is 13.

Also check out the Least Common Multiple of 80652 and 80665