What is the Greatest Common Factor of 79948 and 79952?

Greatest common factor (GCF) of 79948 and 79952 is 4.

GCF(79948,79952) = 4

We will now calculate the prime factors of 79948 and 79952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79948 and 79952.

How to find the GCF of 79948 and 79952?

We will first find the prime factorization of 79948 and 79952. After we will calculate the factors of 79948 and 79952 and find the biggest common factor number .

Step-1: Prime Factorization of 79948

Prime factors of 79948 are 2, 11, 23, 79. Prime factorization of 79948 in exponential form is:

79948 = 2² × 11¹ × 23¹ × 79¹

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 79948

List of positive integer factors of 79948 that divides 79948 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 79, 92, 158, 253, 316, 506, 869, 1012, 1738, 1817, 3476, 3634, 7268, 19987, 39974

Step-4: Factors of 79952

List of positive integer factors of 79952 that divides 79948 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 79948 and 79952. The biggest common factor number is the GCF number.
So the greatest common factor 79948 and 79952 is 4.

Also check out the Least Common Multiple of 79948 and 79952