What is the Greatest Common Factor of 60140 and 60160?

Greatest common factor (GCF) of 60140 and 60160 is 20.

GCF(60140,60160) = 20

We will now calculate the prime factors of 60140 and 60160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60140 and 60160.

How to find the GCF of 60140 and 60160?

We will first find the prime factorization of 60140 and 60160. After we will calculate the factors of 60140 and 60160 and find the biggest common factor number .

Step-1: Prime Factorization of 60140

Prime factors of 60140 are 2, 5, 31, 97. Prime factorization of 60140 in exponential form is:

60140 = 2² × 5¹ × 31¹ × 97¹

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 60140

List of positive integer factors of 60140 that divides 60140 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 97, 124, 155, 194, 310, 388, 485, 620, 970, 1940, 3007, 6014, 12028, 15035, 30070

Step-4: Factors of 60160

List of positive integer factors of 60160 that divides 60140 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 60140 and 60160. The biggest common factor number is the GCF number.
So the greatest common factor 60140 and 60160 is 20.

Also check out the Least Common Multiple of 60140 and 60160