What is the Greatest Common Factor of 79477 and 79496?

Greatest common factor (GCF) of 79477 and 79496 is 19.

GCF(79477,79496) = 19

We will now calculate the prime factors of 79477 and 79496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79477 and 79496.

How to find the GCF of 79477 and 79496?

We will first find the prime factorization of 79477 and 79496. After we will calculate the factors of 79477 and 79496 and find the biggest common factor number .

Step-1: Prime Factorization of 79477

Prime factors of 79477 are 19, 47, 89. Prime factorization of 79477 in exponential form is:

79477 = 19¹ × 47¹ × 89¹

Step-2: Prime Factorization of 79496

Prime factors of 79496 are 2, 19, 523. Prime factorization of 79496 in exponential form is:

79496 = 2³ × 19¹ × 523¹

Step-3: Factors of 79477

List of positive integer factors of 79477 that divides 79477 without a remainder.

1, 19, 47, 89, 893, 1691, 4183

Step-4: Factors of 79496

List of positive integer factors of 79496 that divides 79477 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 523, 1046, 2092, 4184, 9937, 19874, 39748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79477 and 79496. The biggest common factor number is the GCF number.
So the greatest common factor 79477 and 79496 is 19.

Also check out the Least Common Multiple of 79477 and 79496