What is the Greatest Common Factor of 79952 and 79964?

Greatest common factor (GCF) of 79952 and 79964 is 4.

GCF(79952,79964) = 4

We will now calculate the prime factors of 79952 and 79964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79952 and 79964.

How to find the GCF of 79952 and 79964?

We will first find the prime factorization of 79952 and 79964. After we will calculate the factors of 79952 and 79964 and find the biggest common factor number .

Step-1: Prime Factorization of 79952

Prime factors of 79952 are 2, 19, 263. Prime factorization of 79952 in exponential form is:

79952 = 2⁴ × 19¹ × 263¹

Step-2: Prime Factorization of 79964

Prime factors of 79964 are 2, 19991. Prime factorization of 79964 in exponential form is:

79964 = 2² × 19991¹

Step-3: Factors of 79952

List of positive integer factors of 79952 that divides 79952 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 263, 304, 526, 1052, 2104, 4208, 4997, 9994, 19988, 39976

Step-4: Factors of 79964

List of positive integer factors of 79964 that divides 79952 without a remainder.

1, 2, 4, 19991, 39982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79952 and 79964. The biggest common factor number is the GCF number.
So the greatest common factor 79952 and 79964 is 4.

Also check out the Least Common Multiple of 79952 and 79964