What is the Greatest Common Factor of 76480 and 76498?

Greatest common factor (GCF) of 76480 and 76498 is 2.

GCF(76480,76498) = 2

We will now calculate the prime factors of 76480 and 76498, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76480 and 76498.

How to find the GCF of 76480 and 76498?

We will first find the prime factorization of 76480 and 76498. After we will calculate the factors of 76480 and 76498 and find the biggest common factor number .

Step-1: Prime Factorization of 76480

Prime factors of 76480 are 2, 5, 239. Prime factorization of 76480 in exponential form is:

76480 = 2⁶ × 5¹ × 239¹

Step-2: Prime Factorization of 76498

Prime factors of 76498 are 2, 23, 1663. Prime factorization of 76498 in exponential form is:

76498 = 2¹ × 23¹ × 1663¹

Step-3: Factors of 76480

List of positive integer factors of 76480 that divides 76480 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 239, 320, 478, 956, 1195, 1912, 2390, 3824, 4780, 7648, 9560, 15296, 19120, 38240

Step-4: Factors of 76498

List of positive integer factors of 76498 that divides 76480 without a remainder.

1, 2, 23, 46, 1663, 3326, 38249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76480 and 76498. The biggest common factor number is the GCF number.
So the greatest common factor 76480 and 76498 is 2.

Also check out the Least Common Multiple of 76480 and 76498