What is the Greatest Common Factor of 76269 and 76276?

Greatest common factor (GCF) of 76269 and 76276 is 1.

GCF(76269,76276) = 1

We will now calculate the prime factors of 76269 and 76276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76269 and 76276.

How to find the GCF of 76269 and 76276?

We will first find the prime factorization of 76269 and 76276. After we will calculate the factors of 76269 and 76276 and find the biggest common factor number .

Step-1: Prime Factorization of 76269

Prime factors of 76269 are 3, 25423. Prime factorization of 76269 in exponential form is:

76269 = 3¹ × 25423¹

Step-2: Prime Factorization of 76276

Prime factors of 76276 are 2, 19069. Prime factorization of 76276 in exponential form is:

76276 = 2² × 19069¹

Step-3: Factors of 76269

List of positive integer factors of 76269 that divides 76269 without a remainder.

1, 3, 25423

Step-4: Factors of 76276

List of positive integer factors of 76276 that divides 76269 without a remainder.

1, 2, 4, 19069, 38138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76269 and 76276. The biggest common factor number is the GCF number.
So the greatest common factor 76269 and 76276 is 1.

Also check out the Least Common Multiple of 76269 and 76276