What is the Greatest Common Factor of 59268 and 59285?

Greatest common factor (GCF) of 59268 and 59285 is 1.

GCF(59268,59285) = 1

We will now calculate the prime factors of 59268 and 59285, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59268 and 59285.

How to find the GCF of 59268 and 59285?

We will first find the prime factorization of 59268 and 59285. After we will calculate the factors of 59268 and 59285 and find the biggest common factor number .

Step-1: Prime Factorization of 59268

Prime factors of 59268 are 2, 3, 11, 449. Prime factorization of 59268 in exponential form is:

59268 = 2² × 3¹ × 11¹ × 449¹

Step-2: Prime Factorization of 59285

Prime factors of 59285 are 5, 71, 167. Prime factorization of 59285 in exponential form is:

59285 = 5¹ × 71¹ × 167¹

Step-3: Factors of 59268

List of positive integer factors of 59268 that divides 59268 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 449, 898, 1347, 1796, 2694, 4939, 5388, 9878, 14817, 19756, 29634

Step-4: Factors of 59285

List of positive integer factors of 59285 that divides 59268 without a remainder.

1, 5, 71, 167, 355, 835, 11857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59268 and 59285. The biggest common factor number is the GCF number.
So the greatest common factor 59268 and 59285 is 1.

Also check out the Least Common Multiple of 59268 and 59285