What is the Greatest Common Factor of 76245 and 76260?

Greatest common factor (GCF) of 76245 and 76260 is 15.

GCF(76245,76260) = 15

We will now calculate the prime factors of 76245 and 76260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76245 and 76260.

How to find the GCF of 76245 and 76260?

We will first find the prime factorization of 76245 and 76260. After we will calculate the factors of 76245 and 76260 and find the biggest common factor number .

Step-1: Prime Factorization of 76245

Prime factors of 76245 are 3, 5, 13, 17, 23. Prime factorization of 76245 in exponential form is:

76245 = 3¹ × 5¹ × 13¹ × 17¹ × 23¹

Step-2: 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-3: Factors of 76245

List of positive integer factors of 76245 that divides 76245 without a remainder.

1, 3, 5, 13, 15, 17, 23, 39, 51, 65, 69, 85, 115, 195, 221, 255, 299, 345, 391, 663, 897, 1105, 1173, 1495, 1955, 3315, 4485, 5083, 5865, 15249, 25415

Step-4: Factors of 76260

List of positive integer factors of 76260 that divides 76245 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76245 and 76260. The biggest common factor number is the GCF number.
So the greatest common factor 76245 and 76260 is 15.

Also check out the Least Common Multiple of 76245 and 76260