What is the Greatest Common Factor of 89975 and 89988?

Greatest common factor (GCF) of 89975 and 89988 is 1.

GCF(89975,89988) = 1

We will now calculate the prime factors of 89975 and 89988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89975 and 89988.

How to find the GCF of 89975 and 89988?

We will first find the prime factorization of 89975 and 89988. After we will calculate the factors of 89975 and 89988 and find the biggest common factor number .

Step-1: Prime Factorization of 89975

Prime factors of 89975 are 5, 59, 61. Prime factorization of 89975 in exponential form is:

89975 = 5² × 59¹ × 61¹

Step-2: Prime Factorization of 89988

Prime factors of 89988 are 2, 3, 7499. Prime factorization of 89988 in exponential form is:

89988 = 2² × 3¹ × 7499¹

Step-3: Factors of 89975

List of positive integer factors of 89975 that divides 89975 without a remainder.

1, 5, 25, 59, 61, 295, 305, 1475, 1525, 3599, 17995

Step-4: Factors of 89988

List of positive integer factors of 89988 that divides 89975 without a remainder.

1, 2, 3, 4, 6, 12, 7499, 14998, 22497, 29996, 44994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89975 and 89988. The biggest common factor number is the GCF number.
So the greatest common factor 89975 and 89988 is 1.

Also check out the Least Common Multiple of 89975 and 89988