What is the Greatest Common Factor of 79005 and 79023?

Greatest common factor (GCF) of 79005 and 79023 is 3.

GCF(79005,79023) = 3

We will now calculate the prime factors of 79005 and 79023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79005 and 79023.

How to find the GCF of 79005 and 79023?

We will first find the prime factorization of 79005 and 79023. After we will calculate the factors of 79005 and 79023 and find the biggest common factor number .

Step-1: Prime Factorization of 79005

Prime factors of 79005 are 3, 5, 23, 229. Prime factorization of 79005 in exponential form is:

79005 = 3¹ × 5¹ × 23¹ × 229¹

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 79005

List of positive integer factors of 79005 that divides 79005 without a remainder.

1, 3, 5, 15, 23, 69, 115, 229, 345, 687, 1145, 3435, 5267, 15801, 26335

Step-4: Factors of 79023

List of positive integer factors of 79023 that divides 79005 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 79005 and 79023. The biggest common factor number is the GCF number.
So the greatest common factor 79005 and 79023 is 3.

Also check out the Least Common Multiple of 79005 and 79023