What is the Greatest Common Factor of 60130 and 60140?

Greatest common factor (GCF) of 60130 and 60140 is 10.

GCF(60130,60140) = 10

We will now calculate the prime factors of 60130 and 60140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60130 and 60140.

How to find the GCF of 60130 and 60140?

We will first find the prime factorization of 60130 and 60140. After we will calculate the factors of 60130 and 60140 and find the biggest common factor number .

Step-1: Prime Factorization of 60130

Prime factors of 60130 are 2, 5, 7, 859. Prime factorization of 60130 in exponential form is:

60130 = 2¹ × 5¹ × 7¹ × 859¹

Step-2: 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-3: Factors of 60130

List of positive integer factors of 60130 that divides 60130 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 859, 1718, 4295, 6013, 8590, 12026, 30065

Step-4: Factors of 60140

List of positive integer factors of 60140 that divides 60130 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60130 and 60140. The biggest common factor number is the GCF number.
So the greatest common factor 60130 and 60140 is 10.

Also check out the Least Common Multiple of 60130 and 60140