What is the Greatest Common Factor of 67251 and 67260?

Greatest common factor (GCF) of 67251 and 67260 is 3.

GCF(67251,67260) = 3

We will now calculate the prime factors of 67251 and 67260, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67251 and 67260.

How to find the GCF of 67251 and 67260?

We will first find the prime factorization of 67251 and 67260. After we will calculate the factors of 67251 and 67260 and find the biggest common factor number .

Step-1: Prime Factorization of 67251

Prime factors of 67251 are 3, 29, 773. Prime factorization of 67251 in exponential form is:

67251 = 3¹ × 29¹ × 773¹

Step-2: 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-3: Factors of 67251

List of positive integer factors of 67251 that divides 67251 without a remainder.

1, 3, 29, 87, 773, 2319, 22417

Step-4: Factors of 67260

List of positive integer factors of 67260 that divides 67251 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67251 and 67260. The biggest common factor number is the GCF number.
So the greatest common factor 67251 and 67260 is 3.

Also check out the Least Common Multiple of 67251 and 67260