What is the Greatest Common Factor of 76260 and 76266?

Greatest common factor (GCF) of 76260 and 76266 is 6.

GCF(76260,76266) = 6

We will now calculate the prime factors of 76260 and 76266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76260 and 76266.

How to find the GCF of 76260 and 76266?

We will first find the prime factorization of 76260 and 76266. After we will calculate the factors of 76260 and 76266 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 76266

Prime factors of 76266 are 2, 3, 19, 223. Prime factorization of 76266 in exponential form is:

76266 = 2¹ × 3² × 19¹ × 223¹

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 76266

List of positive integer factors of 76266 that divides 76260 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 223, 342, 446, 669, 1338, 2007, 4014, 4237, 8474, 12711, 25422, 38133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76260 and 76266. The biggest common factor number is the GCF number.
So the greatest common factor 76260 and 76266 is 6.

Also check out the Least Common Multiple of 76260 and 76266