What is the Greatest Common Factor of 76270 and 76280?

Greatest common factor (GCF) of 76270 and 76280 is 10.

GCF(76270,76280) = 10

We will now calculate the prime factors of 76270 and 76280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76270 and 76280.

How to find the GCF of 76270 and 76280?

We will first find the prime factorization of 76270 and 76280. After we will calculate the factors of 76270 and 76280 and find the biggest common factor number .

Step-1: Prime Factorization of 76270

Prime factors of 76270 are 2, 5, 29, 263. Prime factorization of 76270 in exponential form is:

76270 = 2¹ × 5¹ × 29¹ × 263¹

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 76270

List of positive integer factors of 76270 that divides 76270 without a remainder.

1, 2, 5, 10, 29, 58, 145, 263, 290, 526, 1315, 2630, 7627, 15254, 38135

Step-4: Factors of 76280

List of positive integer factors of 76280 that divides 76270 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 76270 and 76280. The biggest common factor number is the GCF number.
So the greatest common factor 76270 and 76280 is 10.

Also check out the Least Common Multiple of 76270 and 76280