What is the Greatest Common Factor of 61310 and 61330?

Greatest common factor (GCF) of 61310 and 61330 is 10.

GCF(61310,61330) = 10

We will now calculate the prime factors of 61310 and 61330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61310 and 61330.

How to find the GCF of 61310 and 61330?

We will first find the prime factorization of 61310 and 61330. After we will calculate the factors of 61310 and 61330 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61330

Prime factors of 61330 are 2, 5, 6133. Prime factorization of 61330 in exponential form is:

61330 = 2¹ × 5¹ × 6133¹

Step-3: Factors of 61310

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

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

Step-4: Factors of 61330

List of positive integer factors of 61330 that divides 61310 without a remainder.

1, 2, 5, 10, 6133, 12266, 30665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61310 and 61330. The biggest common factor number is the GCF number.
So the greatest common factor 61310 and 61330 is 10.

Also check out the Least Common Multiple of 61310 and 61330