What is the Greatest Common Factor of 73940 and 73952?

Greatest common factor (GCF) of 73940 and 73952 is 4.

GCF(73940,73952) = 4

We will now calculate the prime factors of 73940 and 73952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73940 and 73952.

How to find the GCF of 73940 and 73952?

We will first find the prime factorization of 73940 and 73952. After we will calculate the factors of 73940 and 73952 and find the biggest common factor number .

Step-1: Prime Factorization of 73940

Prime factors of 73940 are 2, 5, 3697. Prime factorization of 73940 in exponential form is:

73940 = 2² × 5¹ × 3697¹

Step-2: Prime Factorization of 73952

Prime factors of 73952 are 2, 2311. Prime factorization of 73952 in exponential form is:

73952 = 2⁵ × 2311¹

Step-3: Factors of 73940

List of positive integer factors of 73940 that divides 73940 without a remainder.

1, 2, 4, 5, 10, 20, 3697, 7394, 14788, 18485, 36970

Step-4: Factors of 73952

List of positive integer factors of 73952 that divides 73940 without a remainder.

1, 2, 4, 8, 16, 32, 2311, 4622, 9244, 18488, 36976

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73940 and 73952. The biggest common factor number is the GCF number.
So the greatest common factor 73940 and 73952 is 4.

Also check out the Least Common Multiple of 73940 and 73952