What is the Greatest Common Factor of 60272 and 60288?

Greatest common factor (GCF) of 60272 and 60288 is 16.

GCF(60272,60288) = 16

We will now calculate the prime factors of 60272 and 60288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60272 and 60288.

How to find the GCF of 60272 and 60288?

We will first find the prime factorization of 60272 and 60288. After we will calculate the factors of 60272 and 60288 and find the biggest common factor number .

Step-1: Prime Factorization of 60272

Prime factors of 60272 are 2, 3767. Prime factorization of 60272 in exponential form is:

60272 = 2⁴ × 3767¹

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 60272

List of positive integer factors of 60272 that divides 60272 without a remainder.

1, 2, 4, 8, 16, 3767, 7534, 15068, 30136

Step-4: Factors of 60288

List of positive integer factors of 60288 that divides 60272 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 60272 and 60288. The biggest common factor number is the GCF number.
So the greatest common factor 60272 and 60288 is 16.

Also check out the Least Common Multiple of 60272 and 60288