What is the Greatest Common Factor of 79952 and 79967?

Greatest common factor (GCF) of 79952 and 79967 is 1.

GCF(79952,79967) = 1

We will now calculate the prime factors of 79952 and 79967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79952 and 79967.

How to find the GCF of 79952 and 79967?

We will first find the prime factorization of 79952 and 79967. After we will calculate the factors of 79952 and 79967 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 79967

Prime factors of 79967 are 79967. Prime factorization of 79967 in exponential form is:

79967 = 79967¹

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 79967

List of positive integer factors of 79967 that divides 79952 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79952 and 79967. The biggest common factor number is the GCF number.
So the greatest common factor 79952 and 79967 is 1.

Also check out the Least Common Multiple of 79952 and 79967