What is the Greatest Common Factor of 15960 and 15970?

Greatest common factor (GCF) of 15960 and 15970 is 10.

GCF(15960,15970) = 10

We will now calculate the prime factors of 15960 and 15970, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15960 and 15970.

How to find the GCF of 15960 and 15970?

We will first find the prime factorization of 15960 and 15970. After we will calculate the factors of 15960 and 15970 and find the biggest common factor number .

Step-1: Prime Factorization of 15960

Prime factors of 15960 are 2, 3, 5, 7, 19. Prime factorization of 15960 in exponential form is:

15960 = 2³ × 3¹ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 15970

Prime factors of 15970 are 2, 5, 1597. Prime factorization of 15970 in exponential form is:

15970 = 2¹ × 5¹ × 1597¹

Step-3: Factors of 15960

List of positive integer factors of 15960 that divides 15960 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 19, 20, 21, 24, 28, 30, 35, 38, 40, 42, 56, 57, 60, 70, 76, 84, 95, 105, 114, 120, 133, 140, 152, 168, 190, 210, 228, 266, 280, 285, 380, 399, 420, 456, 532, 570, 665, 760, 798, 840, 1064, 1140, 1330, 1596, 1995, 2280, 2660, 3192, 3990, 5320, 7980

Step-4: Factors of 15970

List of positive integer factors of 15970 that divides 15960 without a remainder.

1, 2, 5, 10, 1597, 3194, 7985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15960 and 15970. The biggest common factor number is the GCF number.
So the greatest common factor 15960 and 15970 is 10.

Also check out the Least Common Multiple of 15960 and 15970