What is the Greatest Common Factor of 88014 and 88023?

Greatest common factor (GCF) of 88014 and 88023 is 3.

GCF(88014,88023) = 3

We will now calculate the prime factors of 88014 and 88023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88014 and 88023.

How to find the GCF of 88014 and 88023?

We will first find the prime factorization of 88014 and 88023. After we will calculate the factors of 88014 and 88023 and find the biggest common factor number .

Step-1: Prime Factorization of 88014

Prime factors of 88014 are 2, 3, 14669. Prime factorization of 88014 in exponential form is:

88014 = 2¹ × 3¹ × 14669¹

Step-2: Prime Factorization of 88023

Prime factors of 88023 are 3, 13, 37, 61. Prime factorization of 88023 in exponential form is:

88023 = 3¹ × 13¹ × 37¹ × 61¹

Step-3: Factors of 88014

List of positive integer factors of 88014 that divides 88014 without a remainder.

1, 2, 3, 6, 14669, 29338, 44007

Step-4: Factors of 88023

List of positive integer factors of 88023 that divides 88014 without a remainder.

1, 3, 13, 37, 39, 61, 111, 183, 481, 793, 1443, 2257, 2379, 6771, 29341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88014 and 88023. The biggest common factor number is the GCF number.
So the greatest common factor 88014 and 88023 is 3.

Also check out the Least Common Multiple of 88014 and 88023