What is the Greatest Common Factor of 76260 and 76276?

Greatest common factor (GCF) of 76260 and 76276 is 4.

GCF(76260,76276) = 4

We will now calculate the prime factors of 76260 and 76276, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76260 and 76276.

How to find the GCF of 76260 and 76276?

We will first find the prime factorization of 76260 and 76276. After we will calculate the factors of 76260 and 76276 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 76276

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

76276 = 2² × 19069¹

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 76276

List of positive integer factors of 76276 that divides 76260 without a remainder.

1, 2, 4, 19069, 38138

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76260 and 76276. The biggest common factor number is the GCF number.
So the greatest common factor 76260 and 76276 is 4.

Also check out the Least Common Multiple of 76260 and 76276