What is the Greatest Common Factor of 87724 and 87741?

Greatest common factor (GCF) of 87724 and 87741 is 1.

GCF(87724,87741) = 1

We will now calculate the prime factors of 87724 and 87741, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87724 and 87741.

How to find the GCF of 87724 and 87741?

We will first find the prime factorization of 87724 and 87741. After we will calculate the factors of 87724 and 87741 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 87741

Prime factors of 87741 are 3, 9749. Prime factorization of 87741 in exponential form is:

87741 = 3² × 9749¹

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 87741

List of positive integer factors of 87741 that divides 87724 without a remainder.

1, 3, 9, 9749, 29247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87724 and 87741. The biggest common factor number is the GCF number.
So the greatest common factor 87724 and 87741 is 1.

Also check out the Least Common Multiple of 87724 and 87741