What is the Greatest Common Factor of 79478 and 79485?

Greatest common factor (GCF) of 79478 and 79485 is 7.

GCF(79478,79485) = 7

We will now calculate the prime factors of 79478 and 79485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79478 and 79485.

How to find the GCF of 79478 and 79485?

We will first find the prime factorization of 79478 and 79485. After we will calculate the factors of 79478 and 79485 and find the biggest common factor number .

Step-1: Prime Factorization of 79478

Prime factors of 79478 are 2, 7, 811. Prime factorization of 79478 in exponential form is:

79478 = 2¹ × 7² × 811¹

Step-2: Prime Factorization of 79485

Prime factors of 79485 are 3, 5, 7, 757. Prime factorization of 79485 in exponential form is:

79485 = 3¹ × 5¹ × 7¹ × 757¹

Step-3: Factors of 79478

List of positive integer factors of 79478 that divides 79478 without a remainder.

1, 2, 7, 14, 49, 98, 811, 1622, 5677, 11354, 39739

Step-4: Factors of 79485

List of positive integer factors of 79485 that divides 79478 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 757, 2271, 3785, 5299, 11355, 15897, 26495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79478 and 79485. The biggest common factor number is the GCF number.
So the greatest common factor 79478 and 79485 is 7.

Also check out the Least Common Multiple of 79478 and 79485