What is the Greatest Common Factor of 15687 and 15701?

Greatest common factor (GCF) of 15687 and 15701 is 7.

GCF(15687,15701) = 7

We will now calculate the prime factors of 15687 and 15701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15687 and 15701.

How to find the GCF of 15687 and 15701?

We will first find the prime factorization of 15687 and 15701. After we will calculate the factors of 15687 and 15701 and find the biggest common factor number .

Step-1: Prime Factorization of 15687

Prime factors of 15687 are 3, 7, 83. Prime factorization of 15687 in exponential form is:

15687 = 3³ × 7¹ × 83¹

Step-2: Prime Factorization of 15701

Prime factors of 15701 are 7, 2243. Prime factorization of 15701 in exponential form is:

15701 = 7¹ × 2243¹

Step-3: Factors of 15687

List of positive integer factors of 15687 that divides 15687 without a remainder.

1, 3, 7, 9, 21, 27, 63, 83, 189, 249, 581, 747, 1743, 2241, 5229

Step-4: Factors of 15701

List of positive integer factors of 15701 that divides 15687 without a remainder.

1, 7, 2243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15687 and 15701. The biggest common factor number is the GCF number.
So the greatest common factor 15687 and 15701 is 7.

Also check out the Least Common Multiple of 15687 and 15701