What is the Greatest Common Factor of 61724 and 61733?

Greatest common factor (GCF) of 61724 and 61733 is 1.

GCF(61724,61733) = 1

We will now calculate the prime factors of 61724 and 61733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61724 and 61733.

How to find the GCF of 61724 and 61733?

We will first find the prime factorization of 61724 and 61733. After we will calculate the factors of 61724 and 61733 and find the biggest common factor number .

Step-1: Prime Factorization of 61724

Prime factors of 61724 are 2, 13, 1187. Prime factorization of 61724 in exponential form is:

61724 = 2² × 13¹ × 1187¹

Step-2: Prime Factorization of 61733

Prime factors of 61733 are 7, 8819. Prime factorization of 61733 in exponential form is:

61733 = 7¹ × 8819¹

Step-3: Factors of 61724

List of positive integer factors of 61724 that divides 61724 without a remainder.

1, 2, 4, 13, 26, 52, 1187, 2374, 4748, 15431, 30862

Step-4: Factors of 61733

List of positive integer factors of 61733 that divides 61724 without a remainder.

1, 7, 8819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61724 and 61733. The biggest common factor number is the GCF number.
So the greatest common factor 61724 and 61733 is 1.

Also check out the Least Common Multiple of 61724 and 61733