What is the Greatest Common Factor of 89493 and 89502?

Greatest common factor (GCF) of 89493 and 89502 is 3.

GCF(89493,89502) = 3

We will now calculate the prime factors of 89493 and 89502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89493 and 89502.

How to find the GCF of 89493 and 89502?

We will first find the prime factorization of 89493 and 89502. After we will calculate the factors of 89493 and 89502 and find the biggest common factor number .

Step-1: Prime Factorization of 89493

Prime factors of 89493 are 3, 23, 1297. Prime factorization of 89493 in exponential form is:

89493 = 3¹ × 23¹ × 1297¹

Step-2: Prime Factorization of 89502

Prime factors of 89502 are 2, 3, 7, 2131. Prime factorization of 89502 in exponential form is:

89502 = 2¹ × 3¹ × 7¹ × 2131¹

Step-3: Factors of 89493

List of positive integer factors of 89493 that divides 89493 without a remainder.

1, 3, 23, 69, 1297, 3891, 29831

Step-4: Factors of 89502

List of positive integer factors of 89502 that divides 89493 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2131, 4262, 6393, 12786, 14917, 29834, 44751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89493 and 89502. The biggest common factor number is the GCF number.
So the greatest common factor 89493 and 89502 is 3.

Also check out the Least Common Multiple of 89493 and 89502