What is the Greatest Common Factor of 80645 and 80652?

Greatest common factor (GCF) of 80645 and 80652 is 1.

GCF(80645,80652) = 1

We will now calculate the prime factors of 80645 and 80652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80645 and 80652.

How to find the GCF of 80645 and 80652?

We will first find the prime factorization of 80645 and 80652. After we will calculate the factors of 80645 and 80652 and find the biggest common factor number .

Step-1: Prime Factorization of 80645

Prime factors of 80645 are 5, 127. Prime factorization of 80645 in exponential form is:

80645 = 5¹ × 127²

Step-2: 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-3: Factors of 80645

List of positive integer factors of 80645 that divides 80645 without a remainder.

1, 5, 127, 635, 16129

Step-4: Factors of 80652

List of positive integer factors of 80652 that divides 80645 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80645 and 80652. The biggest common factor number is the GCF number.
So the greatest common factor 80645 and 80652 is 1.

Also check out the Least Common Multiple of 80645 and 80652