What is the Greatest Common Factor of 15700 and 15720?

Greatest common factor (GCF) of 15700 and 15720 is 20.

GCF(15700,15720) = 20

We will now calculate the prime factors of 15700 and 15720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15700 and 15720.

How to find the GCF of 15700 and 15720?

We will first find the prime factorization of 15700 and 15720. After we will calculate the factors of 15700 and 15720 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15720

Prime factors of 15720 are 2, 3, 5, 131. Prime factorization of 15720 in exponential form is:

15720 = 2³ × 3¹ × 5¹ × 131¹

Step-3: Factors of 15700

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

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

Step-4: Factors of 15720

List of positive integer factors of 15720 that divides 15700 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 131, 262, 393, 524, 655, 786, 1048, 1310, 1572, 1965, 2620, 3144, 3930, 5240, 7860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15700 and 15720. The biggest common factor number is the GCF number.
So the greatest common factor 15700 and 15720 is 20.

Also check out the Least Common Multiple of 15700 and 15720