What is the Greatest Common Factor of 79011 and 79023?

Greatest common factor (GCF) of 79011 and 79023 is 3.

GCF(79011,79023) = 3

We will now calculate the prime factors of 79011 and 79023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79011 and 79023.

How to find the GCF of 79011 and 79023?

We will first find the prime factorization of 79011 and 79023. After we will calculate the factors of 79011 and 79023 and find the biggest common factor number .

Step-1: Prime Factorization of 79011

Prime factors of 79011 are 3, 8779. Prime factorization of 79011 in exponential form is:

79011 = 3² × 8779¹

Step-2: 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-3: Factors of 79011

List of positive integer factors of 79011 that divides 79011 without a remainder.

1, 3, 9, 8779, 26337

Step-4: Factors of 79023

List of positive integer factors of 79023 that divides 79011 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79011 and 79023. The biggest common factor number is the GCF number.
So the greatest common factor 79011 and 79023 is 3.

Also check out the Least Common Multiple of 79011 and 79023