What is the Greatest Common Factor of 61731 and 61746?

Greatest common factor (GCF) of 61731 and 61746 is 3.

GCF(61731,61746) = 3

We will now calculate the prime factors of 61731 and 61746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61731 and 61746.

How to find the GCF of 61731 and 61746?

We will first find the prime factorization of 61731 and 61746. After we will calculate the factors of 61731 and 61746 and find the biggest common factor number .

Step-1: Prime Factorization of 61731

Prime factors of 61731 are 3, 19. Prime factorization of 61731 in exponential form is:

61731 = 3² × 19³

Step-2: Prime Factorization of 61746

Prime factors of 61746 are 2, 3, 41, 251. Prime factorization of 61746 in exponential form is:

61746 = 2¹ × 3¹ × 41¹ × 251¹

Step-3: Factors of 61731

List of positive integer factors of 61731 that divides 61731 without a remainder.

1, 3, 9, 19, 57, 171, 361, 1083, 3249, 6859, 20577

Step-4: Factors of 61746

List of positive integer factors of 61746 that divides 61731 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 251, 502, 753, 1506, 10291, 20582, 30873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61731 and 61746. The biggest common factor number is the GCF number.
So the greatest common factor 61731 and 61746 is 3.

Also check out the Least Common Multiple of 61731 and 61746