What is the Greatest Common Factor of 61330 and 61340?

Greatest common factor (GCF) of 61330 and 61340 is 10.

GCF(61330,61340) = 10

We will now calculate the prime factors of 61330 and 61340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61330 and 61340.

How to find the GCF of 61330 and 61340?

We will first find the prime factorization of 61330 and 61340. After we will calculate the factors of 61330 and 61340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61340

Prime factors of 61340 are 2, 5, 3067. Prime factorization of 61340 in exponential form is:

61340 = 2² × 5¹ × 3067¹

Step-3: Factors of 61330

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

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

Step-4: Factors of 61340

List of positive integer factors of 61340 that divides 61330 without a remainder.

1, 2, 4, 5, 10, 20, 3067, 6134, 12268, 15335, 30670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61330 and 61340. The biggest common factor number is the GCF number.
So the greatest common factor 61330 and 61340 is 10.

Also check out the Least Common Multiple of 61330 and 61340