What is the Greatest Common Factor of 76408 and 76421?

Greatest common factor (GCF) of 76408 and 76421 is 1.

GCF(76408,76421) = 1

We will now calculate the prime factors of 76408 and 76421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76408 and 76421.

How to find the GCF of 76408 and 76421?

We will first find the prime factorization of 76408 and 76421. After we will calculate the factors of 76408 and 76421 and find the biggest common factor number .

Step-1: Prime Factorization of 76408

Prime factors of 76408 are 2, 9551. Prime factorization of 76408 in exponential form is:

76408 = 2³ × 9551¹

Step-2: Prime Factorization of 76421

Prime factors of 76421 are 76421. Prime factorization of 76421 in exponential form is:

76421 = 76421¹

Step-3: Factors of 76408

List of positive integer factors of 76408 that divides 76408 without a remainder.

1, 2, 4, 8, 9551, 19102, 38204

Step-4: Factors of 76421

List of positive integer factors of 76421 that divides 76408 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76408 and 76421. The biggest common factor number is the GCF number.
So the greatest common factor 76408 and 76421 is 1.

Also check out the Least Common Multiple of 76408 and 76421