What is the Greatest Common Factor of 89958 and 89968?

Greatest common factor (GCF) of 89958 and 89968 is 2.

GCF(89958,89968) = 2

We will now calculate the prime factors of 89958 and 89968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89958 and 89968.

How to find the GCF of 89958 and 89968?

We will first find the prime factorization of 89958 and 89968. After we will calculate the factors of 89958 and 89968 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 89968

Prime factors of 89968 are 2, 5623. Prime factorization of 89968 in exponential form is:

89968 = 2⁴ × 5623¹

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 89968

List of positive integer factors of 89968 that divides 89958 without a remainder.

1, 2, 4, 8, 16, 5623, 11246, 22492, 44984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89958 and 89968. The biggest common factor number is the GCF number.
So the greatest common factor 89958 and 89968 is 2.

Also check out the Least Common Multiple of 89958 and 89968