What is the Greatest Common Factor of 76480 and 76493?

Greatest common factor (GCF) of 76480 and 76493 is 1.

GCF(76480,76493) = 1

We will now calculate the prime factors of 76480 and 76493, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76480 and 76493.

How to find the GCF of 76480 and 76493?

We will first find the prime factorization of 76480 and 76493. After we will calculate the factors of 76480 and 76493 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 76493

Prime factors of 76493 are 76493. Prime factorization of 76493 in exponential form is:

76493 = 76493¹

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 76493

List of positive integer factors of 76493 that divides 76480 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76480 and 76493. The biggest common factor number is the GCF number.
So the greatest common factor 76480 and 76493 is 1.

Also check out the Least Common Multiple of 76480 and 76493