What is the Greatest Common Factor of 67260 and 67279?

Greatest common factor (GCF) of 67260 and 67279 is 19.

GCF(67260,67279) = 19

We will now calculate the prime factors of 67260 and 67279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67260 and 67279.

How to find the GCF of 67260 and 67279?

We will first find the prime factorization of 67260 and 67279. After we will calculate the factors of 67260 and 67279 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 67279

Prime factors of 67279 are 19, 3541. Prime factorization of 67279 in exponential form is:

67279 = 19¹ × 3541¹

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 67279

List of positive integer factors of 67279 that divides 67260 without a remainder.

1, 19, 3541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67260 and 67279. The biggest common factor number is the GCF number.
So the greatest common factor 67260 and 67279 is 19.

Also check out the Least Common Multiple of 67260 and 67279