What is the Greatest Common Factor of 76480 and 76496?

Greatest common factor (GCF) of 76480 and 76496 is 16.

GCF(76480,76496) = 16

We will now calculate the prime factors of 76480 and 76496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76480 and 76496.

How to find the GCF of 76480 and 76496?

We will first find the prime factorization of 76480 and 76496. After we will calculate the factors of 76480 and 76496 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 76496

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

76496 = 2⁴ × 7¹ × 683¹

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 76496

List of positive integer factors of 76496 that divides 76480 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76480 and 76496. The biggest common factor number is the GCF number.
So the greatest common factor 76480 and 76496 is 16.

Also check out the Least Common Multiple of 76480 and 76496