What is the Greatest Common Factor of 15688 and 15702?

Greatest common factor (GCF) of 15688 and 15702 is 2.

GCF(15688,15702) = 2

We will now calculate the prime factors of 15688 and 15702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15688 and 15702.

How to find the GCF of 15688 and 15702?

We will first find the prime factorization of 15688 and 15702. After we will calculate the factors of 15688 and 15702 and find the biggest common factor number .

Step-1: Prime Factorization of 15688

Prime factors of 15688 are 2, 37, 53. Prime factorization of 15688 in exponential form is:

15688 = 2³ × 37¹ × 53¹

Step-2: Prime Factorization of 15702

Prime factors of 15702 are 2, 3, 2617. Prime factorization of 15702 in exponential form is:

15702 = 2¹ × 3¹ × 2617¹

Step-3: Factors of 15688

List of positive integer factors of 15688 that divides 15688 without a remainder.

1, 2, 4, 8, 37, 53, 74, 106, 148, 212, 296, 424, 1961, 3922, 7844

Step-4: Factors of 15702

List of positive integer factors of 15702 that divides 15688 without a remainder.

1, 2, 3, 6, 2617, 5234, 7851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15688 and 15702. The biggest common factor number is the GCF number.
So the greatest common factor 15688 and 15702 is 2.

Also check out the Least Common Multiple of 15688 and 15702