What is the Greatest Common Factor of 87724 and 87737?

Greatest common factor (GCF) of 87724 and 87737 is 13.

GCF(87724,87737) = 13

We will now calculate the prime factors of 87724 and 87737, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87724 and 87737.

How to find the GCF of 87724 and 87737?

We will first find the prime factorization of 87724 and 87737. After we will calculate the factors of 87724 and 87737 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 87737

Prime factors of 87737 are 13, 17, 397. Prime factorization of 87737 in exponential form is:

87737 = 13¹ × 17¹ × 397¹

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 87737

List of positive integer factors of 87737 that divides 87724 without a remainder.

1, 13, 17, 221, 397, 5161, 6749

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87724 and 87737. The biggest common factor number is the GCF number.
So the greatest common factor 87724 and 87737 is 13.

Also check out the Least Common Multiple of 87724 and 87737