What is the Greatest Common Factor of 87724 and 87736?

Greatest common factor (GCF) of 87724 and 87736 is 4.

GCF(87724,87736) = 4

We will now calculate the prime factors of 87724 and 87736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87724 and 87736.

How to find the GCF of 87724 and 87736?

We will first find the prime factorization of 87724 and 87736. After we will calculate the factors of 87724 and 87736 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 87736

Prime factors of 87736 are 2, 11, 997. Prime factorization of 87736 in exponential form is:

87736 = 2³ × 11¹ × 997¹

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 87736

List of positive integer factors of 87736 that divides 87724 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 997, 1994, 3988, 7976, 10967, 21934, 43868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87724 and 87736. The biggest common factor number is the GCF number.
So the greatest common factor 87724 and 87736 is 4.

Also check out the Least Common Multiple of 87724 and 87736