What is the Greatest Common Factor of 79485 and 79503?

Greatest common factor (GCF) of 79485 and 79503 is 3.

GCF(79485,79503) = 3

We will now calculate the prime factors of 79485 and 79503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79485 and 79503.

How to find the GCF of 79485 and 79503?

We will first find the prime factorization of 79485 and 79503. After we will calculate the factors of 79485 and 79503 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 79503

Prime factors of 79503 are 3, 26501. Prime factorization of 79503 in exponential form is:

79503 = 3¹ × 26501¹

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 79503

List of positive integer factors of 79503 that divides 79485 without a remainder.

1, 3, 26501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79485 and 79503. The biggest common factor number is the GCF number.
So the greatest common factor 79485 and 79503 is 3.

Also check out the Least Common Multiple of 79485 and 79503