What is the Greatest Common Factor of 79772 and 79792?

Greatest common factor (GCF) of 79772 and 79792 is 4.

GCF(79772,79792) = 4

We will now calculate the prime factors of 79772 and 79792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79772 and 79792.

How to find the GCF of 79772 and 79792?

We will first find the prime factorization of 79772 and 79792. After we will calculate the factors of 79772 and 79792 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 79792

Prime factors of 79792 are 2, 4987. Prime factorization of 79792 in exponential form is:

79792 = 2⁴ × 4987¹

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 79792

List of positive integer factors of 79792 that divides 79772 without a remainder.

1, 2, 4, 8, 16, 4987, 9974, 19948, 39896

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79772 and 79792. The biggest common factor number is the GCF number.
So the greatest common factor 79772 and 79792 is 4.

Also check out the Least Common Multiple of 79772 and 79792