What is the Greatest Common Factor of 89940 and 89958?

Greatest common factor (GCF) of 89940 and 89958 is 6.

GCF(89940,89958) = 6

We will now calculate the prime factors of 89940 and 89958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89940 and 89958.

How to find the GCF of 89940 and 89958?

We will first find the prime factorization of 89940 and 89958. After we will calculate the factors of 89940 and 89958 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89958

Prime factors of 89958 are 2, 3, 11, 29, 47. Prime factorization of 89958 in exponential form is:

89958 = 2¹ × 3¹ × 11¹ × 29¹ × 47¹

Step-3: Factors of 89940

List of positive integer factors of 89940 that divides 89940 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

Step-4: Factors of 89958

List of positive integer factors of 89958 that divides 89940 without a remainder.

1, 2, 3, 6, 11, 22, 29, 33, 47, 58, 66, 87, 94, 141, 174, 282, 319, 517, 638, 957, 1034, 1363, 1551, 1914, 2726, 3102, 4089, 8178, 14993, 29986, 44979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89940 and 89958. The biggest common factor number is the GCF number.
So the greatest common factor 89940 and 89958 is 6.

Also check out the Least Common Multiple of 89940 and 89958