What is the Greatest Common Factor of 74971 and 74975?

Greatest common factor (GCF) of 74971 and 74975 is 1.

GCF(74971,74975) = 1

We will now calculate the prime factors of 74971 and 74975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74971 and 74975.

How to find the GCF of 74971 and 74975?

We will first find the prime factorization of 74971 and 74975. After we will calculate the factors of 74971 and 74975 and find the biggest common factor number .

Step-1: Prime Factorization of 74971

Prime factors of 74971 are 13, 73, 79. Prime factorization of 74971 in exponential form is:

74971 = 13¹ × 73¹ × 79¹

Step-2: Prime Factorization of 74975

Prime factors of 74975 are 5, 2999. Prime factorization of 74975 in exponential form is:

74975 = 5² × 2999¹

Step-3: Factors of 74971

List of positive integer factors of 74971 that divides 74971 without a remainder.

1, 13, 73, 79, 949, 1027, 5767

Step-4: Factors of 74975

List of positive integer factors of 74975 that divides 74971 without a remainder.

1, 5, 25, 2999, 14995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74971 and 74975. The biggest common factor number is the GCF number.
So the greatest common factor 74971 and 74975 is 1.

Also check out the Least Common Multiple of 74971 and 74975