What is the Greatest Common Factor of 75952 and 75964?

Greatest common factor (GCF) of 75952 and 75964 is 4.

GCF(75952,75964) = 4

We will now calculate the prime factors of 75952 and 75964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75952 and 75964.

How to find the GCF of 75952 and 75964?

We will first find the prime factorization of 75952 and 75964. After we will calculate the factors of 75952 and 75964 and find the biggest common factor number .

Step-1: Prime Factorization of 75952

Prime factors of 75952 are 2, 47, 101. Prime factorization of 75952 in exponential form is:

75952 = 2⁴ × 47¹ × 101¹

Step-2: Prime Factorization of 75964

Prime factors of 75964 are 2, 7, 2713. Prime factorization of 75964 in exponential form is:

75964 = 2² × 7¹ × 2713¹

Step-3: Factors of 75952

List of positive integer factors of 75952 that divides 75952 without a remainder.

1, 2, 4, 8, 16, 47, 94, 101, 188, 202, 376, 404, 752, 808, 1616, 4747, 9494, 18988, 37976

Step-4: Factors of 75964

List of positive integer factors of 75964 that divides 75952 without a remainder.

1, 2, 4, 7, 14, 28, 2713, 5426, 10852, 18991, 37982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75952 and 75964. The biggest common factor number is the GCF number.
So the greatest common factor 75952 and 75964 is 4.

Also check out the Least Common Multiple of 75952 and 75964