What is the Greatest Common Factor of 60144 and 60160?

Greatest common factor (GCF) of 60144 and 60160 is 16.

GCF(60144,60160) = 16

We will now calculate the prime factors of 60144 and 60160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60144 and 60160.

How to find the GCF of 60144 and 60160?

We will first find the prime factorization of 60144 and 60160. After we will calculate the factors of 60144 and 60160 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60160

Prime factors of 60160 are 2, 5, 47. Prime factorization of 60160 in exponential form is:

60160 = 2⁸ × 5¹ × 47¹

Step-3: Factors of 60144

List of positive integer factors of 60144 that divides 60144 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

Step-4: Factors of 60160

List of positive integer factors of 60160 that divides 60144 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 47, 64, 80, 94, 128, 160, 188, 235, 256, 320, 376, 470, 640, 752, 940, 1280, 1504, 1880, 3008, 3760, 6016, 7520, 12032, 15040, 30080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60144 and 60160. The biggest common factor number is the GCF number.
So the greatest common factor 60144 and 60160 is 16.

Also check out the Least Common Multiple of 60144 and 60160