What is the Greatest Common Factor of 60140 and 60150?

Greatest common factor (GCF) of 60140 and 60150 is 10.

GCF(60140,60150) = 10

We will now calculate the prime factors of 60140 and 60150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60140 and 60150.

How to find the GCF of 60140 and 60150?

We will first find the prime factorization of 60140 and 60150. After we will calculate the factors of 60140 and 60150 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 60150

Prime factors of 60150 are 2, 3, 5, 401. Prime factorization of 60150 in exponential form is:

60150 = 2¹ × 3¹ × 5² × 401¹

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 60150

List of positive integer factors of 60150 that divides 60140 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 401, 802, 1203, 2005, 2406, 4010, 6015, 10025, 12030, 20050, 30075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60140 and 60150. The biggest common factor number is the GCF number.
So the greatest common factor 60140 and 60150 is 10.

Also check out the Least Common Multiple of 60140 and 60150