What is the Greatest Common Factor of 61736 and 61746?

Greatest common factor (GCF) of 61736 and 61746 is 2.

GCF(61736,61746) = 2

We will now calculate the prime factors of 61736 and 61746, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61736 and 61746.

How to find the GCF of 61736 and 61746?

We will first find the prime factorization of 61736 and 61746. After we will calculate the factors of 61736 and 61746 and find the biggest common factor number .

Step-1: Prime Factorization of 61736

Prime factors of 61736 are 2, 7717. Prime factorization of 61736 in exponential form is:

61736 = 2³ × 7717¹

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 61736

List of positive integer factors of 61736 that divides 61736 without a remainder.

1, 2, 4, 8, 7717, 15434, 30868

Step-4: Factors of 61746

List of positive integer factors of 61746 that divides 61736 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 61736 and 61746. The biggest common factor number is the GCF number.
So the greatest common factor 61736 and 61746 is 2.

Also check out the Least Common Multiple of 61736 and 61746