What is the Greatest Common Factor of 73975 and 73989?

Greatest common factor (GCF) of 73975 and 73989 is 1.

GCF(73975,73989) = 1

We will now calculate the prime factors of 73975 and 73989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73975 and 73989.

How to find the GCF of 73975 and 73989?

We will first find the prime factorization of 73975 and 73989. After we will calculate the factors of 73975 and 73989 and find the biggest common factor number .

Step-1: Prime Factorization of 73975

Prime factors of 73975 are 5, 11, 269. Prime factorization of 73975 in exponential form is:

73975 = 5² × 11¹ × 269¹

Step-2: Prime Factorization of 73989

Prime factors of 73989 are 3, 8221. Prime factorization of 73989 in exponential form is:

73989 = 3² × 8221¹

Step-3: Factors of 73975

List of positive integer factors of 73975 that divides 73975 without a remainder.

1, 5, 11, 25, 55, 269, 275, 1345, 2959, 6725, 14795

Step-4: Factors of 73989

List of positive integer factors of 73989 that divides 73975 without a remainder.

1, 3, 9, 8221, 24663

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73975 and 73989. The biggest common factor number is the GCF number.
So the greatest common factor 73975 and 73989 is 1.

Also check out the Least Common Multiple of 73975 and 73989