What is the Greatest Common Factor of 76496 and 76501?

Greatest common factor (GCF) of 76496 and 76501 is 1.

GCF(76496,76501) = 1

We will now calculate the prime factors of 76496 and 76501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76496 and 76501.

How to find the GCF of 76496 and 76501?

We will first find the prime factorization of 76496 and 76501. After we will calculate the factors of 76496 and 76501 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 76501

Prime factors of 76501 are 113, 677. Prime factorization of 76501 in exponential form is:

76501 = 113¹ × 677¹

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 76501

List of positive integer factors of 76501 that divides 76496 without a remainder.

1, 113, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76496 and 76501. The biggest common factor number is the GCF number.
So the greatest common factor 76496 and 76501 is 1.

Also check out the Least Common Multiple of 76496 and 76501