What is the Greatest Common Factor of 79023 and 79041?

Greatest common factor (GCF) of 79023 and 79041 is 3.

GCF(79023,79041) = 3

We will now calculate the prime factors of 79023 and 79041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79023 and 79041.

How to find the GCF of 79023 and 79041?

We will first find the prime factorization of 79023 and 79041. After we will calculate the factors of 79023 and 79041 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 79041

Prime factors of 79041 are 3, 26347. Prime factorization of 79041 in exponential form is:

79041 = 3¹ × 26347¹

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 79041

List of positive integer factors of 79041 that divides 79023 without a remainder.

1, 3, 26347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79023 and 79041. The biggest common factor number is the GCF number.
So the greatest common factor 79023 and 79041 is 3.

Also check out the Least Common Multiple of 79023 and 79041