What is the Greatest Common Factor of 89931 and 89940?

Greatest common factor (GCF) of 89931 and 89940 is 3.

GCF(89931,89940) = 3

We will now calculate the prime factors of 89931 and 89940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89931 and 89940.

How to find the GCF of 89931 and 89940?

We will first find the prime factorization of 89931 and 89940. After we will calculate the factors of 89931 and 89940 and find the biggest common factor number .

Step-1: Prime Factorization of 89931

Prime factors of 89931 are 3, 31, 967. Prime factorization of 89931 in exponential form is:

89931 = 3¹ × 31¹ × 967¹

Step-2: Prime Factorization of 89940

Prime factors of 89940 are 2, 3, 5, 1499. Prime factorization of 89940 in exponential form is:

89940 = 2² × 3¹ × 5¹ × 1499¹

Step-3: Factors of 89931

List of positive integer factors of 89931 that divides 89931 without a remainder.

1, 3, 31, 93, 967, 2901, 29977

Step-4: Factors of 89940

List of positive integer factors of 89940 that divides 89931 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1499, 2998, 4497, 5996, 7495, 8994, 14990, 17988, 22485, 29980, 44970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89931 and 89940. The biggest common factor number is the GCF number.
So the greatest common factor 89931 and 89940 is 3.

Also check out the Least Common Multiple of 89931 and 89940