What is the Greatest Common Factor of 87682 and 87698?

Greatest common factor (GCF) of 87682 and 87698 is 2.

GCF(87682,87698) = 2

We will now calculate the prime factors of 87682 and 87698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87682 and 87698.

How to find the GCF of 87682 and 87698?

We will first find the prime factorization of 87682 and 87698. After we will calculate the factors of 87682 and 87698 and find the biggest common factor number .

Step-1: Prime Factorization of 87682

Prime factors of 87682 are 2, 7, 6263. Prime factorization of 87682 in exponential form is:

87682 = 2¹ × 7¹ × 6263¹

Step-2: Prime Factorization of 87698

Prime factors of 87698 are 2, 13, 3373. Prime factorization of 87698 in exponential form is:

87698 = 2¹ × 13¹ × 3373¹

Step-3: Factors of 87682

List of positive integer factors of 87682 that divides 87682 without a remainder.

1, 2, 7, 14, 6263, 12526, 43841

Step-4: Factors of 87698

List of positive integer factors of 87698 that divides 87682 without a remainder.

1, 2, 13, 26, 3373, 6746, 43849

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87682 and 87698. The biggest common factor number is the GCF number.
So the greatest common factor 87682 and 87698 is 2.

Also check out the Least Common Multiple of 87682 and 87698