What is the Greatest Common Factor of 60268 and 60288?

Greatest common factor (GCF) of 60268 and 60288 is 4.

GCF(60268,60288) = 4

We will now calculate the prime factors of 60268 and 60288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60268 and 60288.

How to find the GCF of 60268 and 60288?

We will first find the prime factorization of 60268 and 60288. After we will calculate the factors of 60268 and 60288 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 60288

Prime factors of 60288 are 2, 3, 157. Prime factorization of 60288 in exponential form is:

60288 = 2⁷ × 3¹ × 157¹

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 60288

List of positive integer factors of 60288 that divides 60268 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 157, 192, 314, 384, 471, 628, 942, 1256, 1884, 2512, 3768, 5024, 7536, 10048, 15072, 20096, 30144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60268 and 60288. The biggest common factor number is the GCF number.
So the greatest common factor 60268 and 60288 is 4.

Also check out the Least Common Multiple of 60268 and 60288