What is the Greatest Common Factor of 79952 and 79957?

Greatest common factor (GCF) of 79952 and 79957 is 1.

GCF(79952,79957) = 1

We will now calculate the prime factors of 79952 and 79957, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79952 and 79957.

How to find the GCF of 79952 and 79957?

We will first find the prime factorization of 79952 and 79957. After we will calculate the factors of 79952 and 79957 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 79957

Prime factors of 79957 are 37, 2161. Prime factorization of 79957 in exponential form is:

79957 = 37¹ × 2161¹

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 79957

List of positive integer factors of 79957 that divides 79952 without a remainder.

1, 37, 2161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79952 and 79957. The biggest common factor number is the GCF number.
So the greatest common factor 79952 and 79957 is 1.

Also check out the Least Common Multiple of 79952 and 79957