What is the Greatest Common Factor of 89958 and 89967?

Greatest common factor (GCF) of 89958 and 89967 is 3.

GCF(89958,89967) = 3

We will now calculate the prime factors of 89958 and 89967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89958 and 89967.

How to find the GCF of 89958 and 89967?

We will first find the prime factorization of 89958 and 89967. After we will calculate the factors of 89958 and 89967 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 89967

Prime factors of 89967 are 3, 29989. Prime factorization of 89967 in exponential form is:

89967 = 3¹ × 29989¹

Step-3: Factors of 89958

List of positive integer factors of 89958 that divides 89958 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

Step-4: Factors of 89967

List of positive integer factors of 89967 that divides 89958 without a remainder.

1, 3, 29989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89958 and 89967. The biggest common factor number is the GCF number.
So the greatest common factor 89958 and 89967 is 3.

Also check out the Least Common Multiple of 89958 and 89967