What is the Greatest Common Factor of 79471 and 79485?

Greatest common factor (GCF) of 79471 and 79485 is 7.

GCF(79471,79485) = 7

We will now calculate the prime factors of 79471 and 79485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79471 and 79485.

How to find the GCF of 79471 and 79485?

We will first find the prime factorization of 79471 and 79485. After we will calculate the factors of 79471 and 79485 and find the biggest common factor number .

Step-1: Prime Factorization of 79471

Prime factors of 79471 are 7, 11353. Prime factorization of 79471 in exponential form is:

79471 = 7¹ × 11353¹

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 79471

List of positive integer factors of 79471 that divides 79471 without a remainder.

1, 7, 11353

Step-4: Factors of 79485

List of positive integer factors of 79485 that divides 79471 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 79471 and 79485. The biggest common factor number is the GCF number.
So the greatest common factor 79471 and 79485 is 7.

Also check out the Least Common Multiple of 79471 and 79485