What is the Greatest Common Factor of 79026 and 79035?

Greatest common factor (GCF) of 79026 and 79035 is 3.

GCF(79026,79035) = 3

We will now calculate the prime factors of 79026 and 79035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79026 and 79035.

How to find the GCF of 79026 and 79035?

We will first find the prime factorization of 79026 and 79035. After we will calculate the factors of 79026 and 79035 and find the biggest common factor number .

Step-1: Prime Factorization of 79026

Prime factors of 79026 are 2, 3, 13171. Prime factorization of 79026 in exponential form is:

79026 = 2¹ × 3¹ × 13171¹

Step-2: Prime Factorization of 79035

Prime factors of 79035 are 3, 5, 11, 479. Prime factorization of 79035 in exponential form is:

79035 = 3¹ × 5¹ × 11¹ × 479¹

Step-3: Factors of 79026

List of positive integer factors of 79026 that divides 79026 without a remainder.

1, 2, 3, 6, 13171, 26342, 39513

Step-4: Factors of 79035

List of positive integer factors of 79035 that divides 79026 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 479, 1437, 2395, 5269, 7185, 15807, 26345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79026 and 79035. The biggest common factor number is the GCF number.
So the greatest common factor 79026 and 79035 is 3.

Also check out the Least Common Multiple of 79026 and 79035