What is the Greatest Common Factor of 60160 and 60164?

Greatest common factor (GCF) of 60160 and 60164 is 4.

GCF(60160,60164) = 4

We will now calculate the prime factors of 60160 and 60164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60160 and 60164.

How to find the GCF of 60160 and 60164?

We will first find the prime factorization of 60160 and 60164. After we will calculate the factors of 60160 and 60164 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60164

Prime factors of 60164 are 2, 13, 89. Prime factorization of 60164 in exponential form is:

60164 = 2² × 13² × 89¹

Step-3: Factors of 60160

List of positive integer factors of 60160 that divides 60160 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

Step-4: Factors of 60164

List of positive integer factors of 60164 that divides 60160 without a remainder.

1, 2, 4, 13, 26, 52, 89, 169, 178, 338, 356, 676, 1157, 2314, 4628, 15041, 30082

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60160 and 60164. The biggest common factor number is the GCF number.
So the greatest common factor 60160 and 60164 is 4.

Also check out the Least Common Multiple of 60160 and 60164