What is the Greatest Common Factor of 79952 and 79971?

Greatest common factor (GCF) of 79952 and 79971 is 19.

GCF(79952,79971) = 19

We will now calculate the prime factors of 79952 and 79971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79952 and 79971.

How to find the GCF of 79952 and 79971?

We will first find the prime factorization of 79952 and 79971. After we will calculate the factors of 79952 and 79971 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 79971

Prime factors of 79971 are 3, 19, 23, 61. Prime factorization of 79971 in exponential form is:

79971 = 3¹ × 19¹ × 23¹ × 61¹

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 79971

List of positive integer factors of 79971 that divides 79952 without a remainder.

1, 3, 19, 23, 57, 61, 69, 183, 437, 1159, 1311, 1403, 3477, 4209, 26657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79952 and 79971. The biggest common factor number is the GCF number.
So the greatest common factor 79952 and 79971 is 19.

Also check out the Least Common Multiple of 79952 and 79971