What is the Greatest Common Factor of 79942 and 79952?

Greatest common factor (GCF) of 79942 and 79952 is 2.

GCF(79942,79952) = 2

We will now calculate the prime factors of 79942 and 79952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79942 and 79952.

How to find the GCF of 79942 and 79952?

We will first find the prime factorization of 79942 and 79952. After we will calculate the factors of 79942 and 79952 and find the biggest common factor number .

Step-1: Prime Factorization of 79942

Prime factors of 79942 are 2, 39971. Prime factorization of 79942 in exponential form is:

79942 = 2¹ × 39971¹

Step-2: 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-3: Factors of 79942

List of positive integer factors of 79942 that divides 79942 without a remainder.

1, 2, 39971

Step-4: Factors of 79952

List of positive integer factors of 79952 that divides 79942 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79942 and 79952. The biggest common factor number is the GCF number.
So the greatest common factor 79942 and 79952 is 2.

Also check out the Least Common Multiple of 79942 and 79952