What is the Greatest Common Factor of 75952 and 75968?

Greatest common factor (GCF) of 75952 and 75968 is 16.

GCF(75952,75968) = 16

We will now calculate the prime factors of 75952 and 75968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75952 and 75968.

How to find the GCF of 75952 and 75968?

We will first find the prime factorization of 75952 and 75968. After we will calculate the factors of 75952 and 75968 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 75968

Prime factors of 75968 are 2, 1187. Prime factorization of 75968 in exponential form is:

75968 = 2⁶ × 1187¹

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 75968

List of positive integer factors of 75968 that divides 75952 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1187, 2374, 4748, 9496, 18992, 37984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75952 and 75968. The biggest common factor number is the GCF number.
So the greatest common factor 75952 and 75968 is 16.

Also check out the Least Common Multiple of 75952 and 75968