What is the Greatest Common Factor of 87724 and 87738?

Greatest common factor (GCF) of 87724 and 87738 is 14.

GCF(87724,87738) = 14

We will now calculate the prime factors of 87724 and 87738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87724 and 87738.

How to find the GCF of 87724 and 87738?

We will first find the prime factorization of 87724 and 87738. After we will calculate the factors of 87724 and 87738 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 87738

Prime factors of 87738 are 2, 3, 7, 2089. Prime factorization of 87738 in exponential form is:

87738 = 2¹ × 3¹ × 7¹ × 2089¹

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 87738

List of positive integer factors of 87738 that divides 87724 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2089, 4178, 6267, 12534, 14623, 29246, 43869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87724 and 87738. The biggest common factor number is the GCF number.
So the greatest common factor 87724 and 87738 is 14.

Also check out the Least Common Multiple of 87724 and 87738