What is the Greatest Common Factor of 79023 and 79032?

Greatest common factor (GCF) of 79023 and 79032 is 3.

GCF(79023,79032) = 3

We will now calculate the prime factors of 79023 and 79032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79023 and 79032.

How to find the GCF of 79023 and 79032?

We will first find the prime factorization of 79023 and 79032. After we will calculate the factors of 79023 and 79032 and find the biggest common factor number .

Step-1: Prime Factorization of 79023

Prime factors of 79023 are 3, 7, 53, 71. Prime factorization of 79023 in exponential form is:

79023 = 3¹ × 7¹ × 53¹ × 71¹

Step-2: Prime Factorization of 79032

Prime factors of 79032 are 2, 3, 37, 89. Prime factorization of 79032 in exponential form is:

79032 = 2³ × 3¹ × 37¹ × 89¹

Step-3: Factors of 79023

List of positive integer factors of 79023 that divides 79023 without a remainder.

1, 3, 7, 21, 53, 71, 159, 213, 371, 497, 1113, 1491, 3763, 11289, 26341

Step-4: Factors of 79032

List of positive integer factors of 79032 that divides 79023 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 89, 111, 148, 178, 222, 267, 296, 356, 444, 534, 712, 888, 1068, 2136, 3293, 6586, 9879, 13172, 19758, 26344, 39516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79023 and 79032. The biggest common factor number is the GCF number.
So the greatest common factor 79023 and 79032 is 3.

Also check out the Least Common Multiple of 79023 and 79032