What is the Greatest Common Factor of 67260 and 67280?

Greatest common factor (GCF) of 67260 and 67280 is 20.

GCF(67260,67280) = 20

We will now calculate the prime factors of 67260 and 67280, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67260 and 67280.

How to find the GCF of 67260 and 67280?

We will first find the prime factorization of 67260 and 67280. After we will calculate the factors of 67260 and 67280 and find the biggest common factor number .

Step-1: Prime Factorization of 67260

Prime factors of 67260 are 2, 3, 5, 19, 59. Prime factorization of 67260 in exponential form is:

67260 = 2² × 3¹ × 5¹ × 19¹ × 59¹

Step-2: Prime Factorization of 67280

Prime factors of 67280 are 2, 5, 29. Prime factorization of 67280 in exponential form is:

67280 = 2⁴ × 5¹ × 29²

Step-3: Factors of 67260

List of positive integer factors of 67260 that divides 67260 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 59, 60, 76, 95, 114, 118, 177, 190, 228, 236, 285, 295, 354, 380, 570, 590, 708, 885, 1121, 1140, 1180, 1770, 2242, 3363, 3540, 4484, 5605, 6726, 11210, 13452, 16815, 22420, 33630

Step-4: Factors of 67280

List of positive integer factors of 67280 that divides 67260 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 841, 1160, 1682, 2320, 3364, 4205, 6728, 8410, 13456, 16820, 33640

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67260 and 67280. The biggest common factor number is the GCF number.
So the greatest common factor 67260 and 67280 is 20.

Also check out the Least Common Multiple of 67260 and 67280