What is the Greatest Common Factor of 79758 and 79772?

Greatest common factor (GCF) of 79758 and 79772 is 14.

GCF(79758,79772) = 14

We will now calculate the prime factors of 79758 and 79772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79758 and 79772.

How to find the GCF of 79758 and 79772?

We will first find the prime factorization of 79758 and 79772. After we will calculate the factors of 79758 and 79772 and find the biggest common factor number .

Step-1: Prime Factorization of 79758

Prime factors of 79758 are 2, 3, 7, 211. Prime factorization of 79758 in exponential form is:

79758 = 2¹ × 3³ × 7¹ × 211¹

Step-2: Prime Factorization of 79772

Prime factors of 79772 are 2, 7, 11, 37. Prime factorization of 79772 in exponential form is:

79772 = 2² × 7² × 11¹ × 37¹

Step-3: Factors of 79758

List of positive integer factors of 79758 that divides 79758 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 211, 378, 422, 633, 1266, 1477, 1899, 2954, 3798, 4431, 5697, 8862, 11394, 13293, 26586, 39879

Step-4: Factors of 79772

List of positive integer factors of 79772 that divides 79758 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 37, 44, 49, 74, 77, 98, 148, 154, 196, 259, 308, 407, 518, 539, 814, 1036, 1078, 1628, 1813, 2156, 2849, 3626, 5698, 7252, 11396, 19943, 39886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79758 and 79772. The biggest common factor number is the GCF number.
So the greatest common factor 79758 and 79772 is 14.

Also check out the Least Common Multiple of 79758 and 79772