What is the Greatest Common Factor of 76496 and 76509?

Greatest common factor (GCF) of 76496 and 76509 is 1.

GCF(76496,76509) = 1

We will now calculate the prime factors of 76496 and 76509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76496 and 76509.

How to find the GCF of 76496 and 76509?

We will first find the prime factorization of 76496 and 76509. After we will calculate the factors of 76496 and 76509 and find the biggest common factor number .

Step-1: Prime Factorization of 76496

Prime factors of 76496 are 2, 7, 683. Prime factorization of 76496 in exponential form is:

76496 = 2⁴ × 7¹ × 683¹

Step-2: Prime Factorization of 76509

Prime factors of 76509 are 3, 8501. Prime factorization of 76509 in exponential form is:

76509 = 3² × 8501¹

Step-3: Factors of 76496

List of positive integer factors of 76496 that divides 76496 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 683, 1366, 2732, 4781, 5464, 9562, 10928, 19124, 38248

Step-4: Factors of 76509

List of positive integer factors of 76509 that divides 76496 without a remainder.

1, 3, 9, 8501, 25503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76496 and 76509. The biggest common factor number is the GCF number.
So the greatest common factor 76496 and 76509 is 1.

Also check out the Least Common Multiple of 76496 and 76509