What is the Greatest Common Factor of 79485 and 79499?

Greatest common factor (GCF) of 79485 and 79499 is 7.

GCF(79485,79499) = 7

We will now calculate the prime factors of 79485 and 79499, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79485 and 79499.

How to find the GCF of 79485 and 79499?

We will first find the prime factorization of 79485 and 79499. After we will calculate the factors of 79485 and 79499 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 79499

Prime factors of 79499 are 7, 41, 277. Prime factorization of 79499 in exponential form is:

79499 = 7¹ × 41¹ × 277¹

Step-3: Factors of 79485

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

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

Step-4: Factors of 79499

List of positive integer factors of 79499 that divides 79485 without a remainder.

1, 7, 41, 277, 287, 1939, 11357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79485 and 79499. The biggest common factor number is the GCF number.
So the greatest common factor 79485 and 79499 is 7.

Also check out the Least Common Multiple of 79485 and 79499