What is the Greatest Common Factor of 75968 and 75975?

Greatest common factor (GCF) of 75968 and 75975 is 1.

GCF(75968,75975) = 1

We will now calculate the prime factors of 75968 and 75975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75968 and 75975.

How to find the GCF of 75968 and 75975?

We will first find the prime factorization of 75968 and 75975. After we will calculate the factors of 75968 and 75975 and find the biggest common factor number .

Step-1: Prime Factorization of 75968

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

75968 = 2⁶ × 1187¹

Step-2: Prime Factorization of 75975

Prime factors of 75975 are 3, 5, 1013. Prime factorization of 75975 in exponential form is:

75975 = 3¹ × 5² × 1013¹

Step-3: Factors of 75968

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

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

Step-4: Factors of 75975

List of positive integer factors of 75975 that divides 75968 without a remainder.

1, 3, 5, 15, 25, 75, 1013, 3039, 5065, 15195, 25325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75968 and 75975. The biggest common factor number is the GCF number.
So the greatest common factor 75968 and 75975 is 1.

Also check out the Least Common Multiple of 75968 and 75975