What is the Greatest Common Factor of 60288 and 60296?

Greatest common factor (GCF) of 60288 and 60296 is 8.

GCF(60288,60296) = 8

We will now calculate the prime factors of 60288 and 60296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60288 and 60296.

How to find the GCF of 60288 and 60296?

We will first find the prime factorization of 60288 and 60296. After we will calculate the factors of 60288 and 60296 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60296

Prime factors of 60296 are 2, 7537. Prime factorization of 60296 in exponential form is:

60296 = 2³ × 7537¹

Step-3: Factors of 60288

List of positive integer factors of 60288 that divides 60288 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

Step-4: Factors of 60296

List of positive integer factors of 60296 that divides 60288 without a remainder.

1, 2, 4, 8, 7537, 15074, 30148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60288 and 60296. The biggest common factor number is the GCF number.
So the greatest common factor 60288 and 60296 is 8.

Also check out the Least Common Multiple of 60288 and 60296