What is the Greatest Common Factor of 61675 and 61690?

Greatest common factor (GCF) of 61675 and 61690 is 5.

GCF(61675,61690) = 5

We will now calculate the prime factors of 61675 and 61690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61675 and 61690.

How to find the GCF of 61675 and 61690?

We will first find the prime factorization of 61675 and 61690. After we will calculate the factors of 61675 and 61690 and find the biggest common factor number .

Step-1: Prime Factorization of 61675

Prime factors of 61675 are 5, 2467. Prime factorization of 61675 in exponential form is:

61675 = 5² × 2467¹

Step-2: Prime Factorization of 61690

Prime factors of 61690 are 2, 5, 31, 199. Prime factorization of 61690 in exponential form is:

61690 = 2¹ × 5¹ × 31¹ × 199¹

Step-3: Factors of 61675

List of positive integer factors of 61675 that divides 61675 without a remainder.

1, 5, 25, 2467, 12335

Step-4: Factors of 61690

List of positive integer factors of 61690 that divides 61675 without a remainder.

1, 2, 5, 10, 31, 62, 155, 199, 310, 398, 995, 1990, 6169, 12338, 30845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61675 and 61690. The biggest common factor number is the GCF number.
So the greatest common factor 61675 and 61690 is 5.

Also check out the Least Common Multiple of 61675 and 61690