What is the Greatest Common Factor of 61690 and 61708?

Greatest common factor (GCF) of 61690 and 61708 is 2.

GCF(61690,61708) = 2

We will now calculate the prime factors of 61690 and 61708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61690 and 61708.

How to find the GCF of 61690 and 61708?

We will first find the prime factorization of 61690 and 61708. After we will calculate the factors of 61690 and 61708 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61708

Prime factors of 61708 are 2, 15427. Prime factorization of 61708 in exponential form is:

61708 = 2² × 15427¹

Step-3: Factors of 61690

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

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

Step-4: Factors of 61708

List of positive integer factors of 61708 that divides 61690 without a remainder.

1, 2, 4, 15427, 30854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61690 and 61708. The biggest common factor number is the GCF number.
So the greatest common factor 61690 and 61708 is 2.

Also check out the Least Common Multiple of 61690 and 61708