What is the Greatest Common Factor of 76274 and 76280?

Greatest common factor (GCF) of 76274 and 76280 is 2.

GCF(76274,76280) = 2

We will now calculate the prime factors of 76274 and 76280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76274 and 76280.

How to find the GCF of 76274 and 76280?

We will first find the prime factorization of 76274 and 76280. After we will calculate the factors of 76274 and 76280 and find the biggest common factor number .

Step-1: Prime Factorization of 76274

Prime factors of 76274 are 2, 11, 3467. Prime factorization of 76274 in exponential form is:

76274 = 2¹ × 11¹ × 3467¹

Step-2: Prime Factorization of 76280

Prime factors of 76280 are 2, 5, 1907. Prime factorization of 76280 in exponential form is:

76280 = 2³ × 5¹ × 1907¹

Step-3: Factors of 76274

List of positive integer factors of 76274 that divides 76274 without a remainder.

1, 2, 11, 22, 3467, 6934, 38137

Step-4: Factors of 76280

List of positive integer factors of 76280 that divides 76274 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1907, 3814, 7628, 9535, 15256, 19070, 38140

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76274 and 76280. The biggest common factor number is the GCF number.
So the greatest common factor 76274 and 76280 is 2.

Also check out the Least Common Multiple of 76274 and 76280