What is the Greatest Common Factor of 76260 and 76279?

Greatest common factor (GCF) of 76260 and 76279 is 1.

GCF(76260,76279) = 1

We will now calculate the prime factors of 76260 and 76279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76260 and 76279.

How to find the GCF of 76260 and 76279?

We will first find the prime factorization of 76260 and 76279. After we will calculate the factors of 76260 and 76279 and find the biggest common factor number .

Step-1: Prime Factorization of 76260

Prime factors of 76260 are 2, 3, 5, 31, 41. Prime factorization of 76260 in exponential form is:

76260 = 2² × 3¹ × 5¹ × 31¹ × 41¹

Step-2: Prime Factorization of 76279

Prime factors of 76279 are 7, 17, 641. Prime factorization of 76279 in exponential form is:

76279 = 7¹ × 17¹ × 641¹

Step-3: Factors of 76260

List of positive integer factors of 76260 that divides 76260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 41, 60, 62, 82, 93, 123, 124, 155, 164, 186, 205, 246, 310, 372, 410, 465, 492, 615, 620, 820, 930, 1230, 1271, 1860, 2460, 2542, 3813, 5084, 6355, 7626, 12710, 15252, 19065, 25420, 38130

Step-4: Factors of 76279

List of positive integer factors of 76279 that divides 76260 without a remainder.

1, 7, 17, 119, 641, 4487, 10897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76260 and 76279. The biggest common factor number is the GCF number.
So the greatest common factor 76260 and 76279 is 1.

Also check out the Least Common Multiple of 76260 and 76279