What is the Greatest Common Factor of 60128 and 60144?

Greatest common factor (GCF) of 60128 and 60144 is 16.

GCF(60128,60144) = 16

We will now calculate the prime factors of 60128 and 60144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60128 and 60144.

How to find the GCF of 60128 and 60144?

We will first find the prime factorization of 60128 and 60144. After we will calculate the factors of 60128 and 60144 and find the biggest common factor number .

Step-1: Prime Factorization of 60128

Prime factors of 60128 are 2, 1879. Prime factorization of 60128 in exponential form is:

60128 = 2⁵ × 1879¹

Step-2: Prime Factorization of 60144

Prime factors of 60144 are 2, 3, 7, 179. Prime factorization of 60144 in exponential form is:

60144 = 2⁴ × 3¹ × 7¹ × 179¹

Step-3: Factors of 60128

List of positive integer factors of 60128 that divides 60128 without a remainder.

1, 2, 4, 8, 16, 32, 1879, 3758, 7516, 15032, 30064

Step-4: Factors of 60144

List of positive integer factors of 60144 that divides 60128 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 179, 336, 358, 537, 716, 1074, 1253, 1432, 2148, 2506, 2864, 3759, 4296, 5012, 7518, 8592, 10024, 15036, 20048, 30072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60128 and 60144. The biggest common factor number is the GCF number.
So the greatest common factor 60128 and 60144 is 16.

Also check out the Least Common Multiple of 60128 and 60144