What is the Greatest Common Factor of 87724 and 87731?

Greatest common factor (GCF) of 87724 and 87731 is 7.

GCF(87724,87731) = 7

We will now calculate the prime factors of 87724 and 87731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87724 and 87731.

How to find the GCF of 87724 and 87731?

We will first find the prime factorization of 87724 and 87731. After we will calculate the factors of 87724 and 87731 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 87731

Prime factors of 87731 are 7, 83, 151. Prime factorization of 87731 in exponential form is:

87731 = 7¹ × 83¹ × 151¹

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 87731

List of positive integer factors of 87731 that divides 87724 without a remainder.

1, 7, 83, 151, 581, 1057, 12533

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87724 and 87731. The biggest common factor number is the GCF number.
So the greatest common factor 87724 and 87731 is 7.

Also check out the Least Common Multiple of 87724 and 87731