What is the Greatest Common Factor of 60268 and 60287?

Greatest common factor (GCF) of 60268 and 60287 is 19.

GCF(60268,60287) = 19

We will now calculate the prime factors of 60268 and 60287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60268 and 60287.

How to find the GCF of 60268 and 60287?

We will first find the prime factorization of 60268 and 60287. After we will calculate the factors of 60268 and 60287 and find the biggest common factor number .

Step-1: Prime Factorization of 60268

Prime factors of 60268 are 2, 13, 19, 61. Prime factorization of 60268 in exponential form is:

60268 = 2² × 13¹ × 19¹ × 61¹

Step-2: Prime Factorization of 60287

Prime factors of 60287 are 19, 167. Prime factorization of 60287 in exponential form is:

60287 = 19² × 167¹

Step-3: Factors of 60268

List of positive integer factors of 60268 that divides 60268 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 61, 76, 122, 244, 247, 494, 793, 988, 1159, 1586, 2318, 3172, 4636, 15067, 30134

Step-4: Factors of 60287

List of positive integer factors of 60287 that divides 60268 without a remainder.

1, 19, 167, 361, 3173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60268 and 60287. The biggest common factor number is the GCF number.
So the greatest common factor 60268 and 60287 is 19.

Also check out the Least Common Multiple of 60268 and 60287