What is the Greatest Common Factor of 79772 and 79786?

Greatest common factor (GCF) of 79772 and 79786 is 14.

GCF(79772,79786) = 14

We will now calculate the prime factors of 79772 and 79786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79772 and 79786.

How to find the GCF of 79772 and 79786?

We will first find the prime factorization of 79772 and 79786. After we will calculate the factors of 79772 and 79786 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79786

Prime factors of 79786 are 2, 7, 41, 139. Prime factorization of 79786 in exponential form is:

79786 = 2¹ × 7¹ × 41¹ × 139¹

Step-3: Factors of 79772

List of positive integer factors of 79772 that divides 79772 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

Step-4: Factors of 79786

List of positive integer factors of 79786 that divides 79772 without a remainder.

1, 2, 7, 14, 41, 82, 139, 278, 287, 574, 973, 1946, 5699, 11398, 39893

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79772 and 79786. The biggest common factor number is the GCF number.
So the greatest common factor 79772 and 79786 is 14.

Also check out the Least Common Multiple of 79772 and 79786