What is the Greatest Common Factor of 80638 and 80652?

Greatest common factor (GCF) of 80638 and 80652 is 2.

GCF(80638,80652) = 2

We will now calculate the prime factors of 80638 and 80652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80638 and 80652.

How to find the GCF of 80638 and 80652?

We will first find the prime factorization of 80638 and 80652. After we will calculate the factors of 80638 and 80652 and find the biggest common factor number .

Step-1: Prime Factorization of 80638

Prime factors of 80638 are 2, 23, 1753. Prime factorization of 80638 in exponential form is:

80638 = 2¹ × 23¹ × 1753¹

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 80638

List of positive integer factors of 80638 that divides 80638 without a remainder.

1, 2, 23, 46, 1753, 3506, 40319

Step-4: Factors of 80652

List of positive integer factors of 80652 that divides 80638 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 80638 and 80652. The biggest common factor number is the GCF number.
So the greatest common factor 80638 and 80652 is 2.

Also check out the Least Common Multiple of 80638 and 80652