What is the Greatest Common Factor of 87724 and 87739?

Greatest common factor (GCF) of 87724 and 87739 is 1.

GCF(87724,87739) = 1

We will now calculate the prime factors of 87724 and 87739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87724 and 87739.

How to find the GCF of 87724 and 87739?

We will first find the prime factorization of 87724 and 87739. After we will calculate the factors of 87724 and 87739 and find the biggest common factor number .

Step-1: Prime Factorization of 87724

Prime factors of 87724 are 2, 7, 13, 241. Prime factorization of 87724 in exponential form is:

87724 = 2² × 7¹ × 13¹ × 241¹

Step-2: Prime Factorization of 87739

Prime factors of 87739 are 87739. Prime factorization of 87739 in exponential form is:

87739 = 87739¹

Step-3: Factors of 87724

List of positive integer factors of 87724 that divides 87724 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 241, 364, 482, 964, 1687, 3133, 3374, 6266, 6748, 12532, 21931, 43862

Step-4: Factors of 87739

List of positive integer factors of 87739 that divides 87724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87724 and 87739. The biggest common factor number is the GCF number.
So the greatest common factor 87724 and 87739 is 1.

Also check out the Least Common Multiple of 87724 and 87739