What is the Greatest Common Factor of 79765 and 79772?

Greatest common factor (GCF) of 79765 and 79772 is 7.

GCF(79765,79772) = 7

We will now calculate the prime factors of 79765 and 79772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79765 and 79772.

How to find the GCF of 79765 and 79772?

We will first find the prime factorization of 79765 and 79772. After we will calculate the factors of 79765 and 79772 and find the biggest common factor number .

Step-1: Prime Factorization of 79765

Prime factors of 79765 are 5, 7, 43, 53. Prime factorization of 79765 in exponential form is:

79765 = 5¹ × 7¹ × 43¹ × 53¹

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 79765

List of positive integer factors of 79765 that divides 79765 without a remainder.

1, 5, 7, 35, 43, 53, 215, 265, 301, 371, 1505, 1855, 2279, 11395, 15953

Step-4: Factors of 79772

List of positive integer factors of 79772 that divides 79765 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 79765 and 79772. The biggest common factor number is the GCF number.
So the greatest common factor 79765 and 79772 is 7.

Also check out the Least Common Multiple of 79765 and 79772