What is the Greatest Common Factor of 61300 and 61310?

Greatest common factor (GCF) of 61300 and 61310 is 10.

GCF(61300,61310) = 10

We will now calculate the prime factors of 61300 and 61310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61300 and 61310.

How to find the GCF of 61300 and 61310?

We will first find the prime factorization of 61300 and 61310. After we will calculate the factors of 61300 and 61310 and find the biggest common factor number .

Step-1: Prime Factorization of 61300

Prime factors of 61300 are 2, 5, 613. Prime factorization of 61300 in exponential form is:

61300 = 2² × 5² × 613¹

Step-2: Prime Factorization of 61310

Prime factors of 61310 are 2, 5, 6131. Prime factorization of 61310 in exponential form is:

61310 = 2¹ × 5¹ × 6131¹

Step-3: Factors of 61300

List of positive integer factors of 61300 that divides 61300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 613, 1226, 2452, 3065, 6130, 12260, 15325, 30650

Step-4: Factors of 61310

List of positive integer factors of 61310 that divides 61300 without a remainder.

1, 2, 5, 10, 6131, 12262, 30655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61300 and 61310. The biggest common factor number is the GCF number.
So the greatest common factor 61300 and 61310 is 10.

Also check out the Least Common Multiple of 61300 and 61310