What is the Greatest Common Factor of 15694 and 15700?

Greatest common factor (GCF) of 15694 and 15700 is 2.

GCF(15694,15700) = 2

We will now calculate the prime factors of 15694 and 15700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15694 and 15700.

How to find the GCF of 15694 and 15700?

We will first find the prime factorization of 15694 and 15700. After we will calculate the factors of 15694 and 15700 and find the biggest common factor number .

Step-1: Prime Factorization of 15694

Prime factors of 15694 are 2, 7, 19, 59. Prime factorization of 15694 in exponential form is:

15694 = 2¹ × 7¹ × 19¹ × 59¹

Step-2: Prime Factorization of 15700

Prime factors of 15700 are 2, 5, 157. Prime factorization of 15700 in exponential form is:

15700 = 2² × 5² × 157¹

Step-3: Factors of 15694

List of positive integer factors of 15694 that divides 15694 without a remainder.

1, 2, 7, 14, 19, 38, 59, 118, 133, 266, 413, 826, 1121, 2242, 7847

Step-4: Factors of 15700

List of positive integer factors of 15700 that divides 15694 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 157, 314, 628, 785, 1570, 3140, 3925, 7850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15694 and 15700. The biggest common factor number is the GCF number.
So the greatest common factor 15694 and 15700 is 2.

Also check out the Least Common Multiple of 15694 and 15700