What is the Greatest Common Factor of 74997 and 75013?

Greatest common factor (GCF) of 74997 and 75013 is 1.

GCF(74997,75013) = 1

We will now calculate the prime factors of 74997 and 75013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74997 and 75013.

How to find the GCF of 74997 and 75013?

We will first find the prime factorization of 74997 and 75013. After we will calculate the factors of 74997 and 75013 and find the biggest common factor number .

Step-1: Prime Factorization of 74997

Prime factors of 74997 are 3, 13, 641. Prime factorization of 74997 in exponential form is:

74997 = 3² × 13¹ × 641¹

Step-2: Prime Factorization of 75013

Prime factors of 75013 are 75013. Prime factorization of 75013 in exponential form is:

75013 = 75013¹

Step-3: Factors of 74997

List of positive integer factors of 74997 that divides 74997 without a remainder.

1, 3, 9, 13, 39, 117, 641, 1923, 5769, 8333, 24999

Step-4: Factors of 75013

List of positive integer factors of 75013 that divides 74997 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74997 and 75013. The biggest common factor number is the GCF number.
So the greatest common factor 74997 and 75013 is 1.

Also check out the Least Common Multiple of 74997 and 75013