What is the Greatest Common Factor of 79888 and 79904?

Greatest common factor (GCF) of 79888 and 79904 is 16.

GCF(79888,79904) = 16

We will now calculate the prime factors of 79888 and 79904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79888 and 79904.

How to find the GCF of 79888 and 79904?

We will first find the prime factorization of 79888 and 79904. After we will calculate the factors of 79888 and 79904 and find the biggest common factor number .

Step-1: Prime Factorization of 79888

Prime factors of 79888 are 2, 4993. Prime factorization of 79888 in exponential form is:

79888 = 2⁴ × 4993¹

Step-2: Prime Factorization of 79904

Prime factors of 79904 are 2, 11, 227. Prime factorization of 79904 in exponential form is:

79904 = 2⁵ × 11¹ × 227¹

Step-3: Factors of 79888

List of positive integer factors of 79888 that divides 79888 without a remainder.

1, 2, 4, 8, 16, 4993, 9986, 19972, 39944

Step-4: Factors of 79904

List of positive integer factors of 79904 that divides 79888 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 227, 352, 454, 908, 1816, 2497, 3632, 4994, 7264, 9988, 19976, 39952

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79888 and 79904. The biggest common factor number is the GCF number.
So the greatest common factor 79888 and 79904 is 16.

Also check out the Least Common Multiple of 79888 and 79904