What is the Greatest Common Factor of 15970 and 15980?

Greatest common factor (GCF) of 15970 and 15980 is 10.

GCF(15970,15980) = 10

We will now calculate the prime factors of 15970 and 15980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15970 and 15980.

How to find the GCF of 15970 and 15980?

We will first find the prime factorization of 15970 and 15980. After we will calculate the factors of 15970 and 15980 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15980

Prime factors of 15980 are 2, 5, 17, 47. Prime factorization of 15980 in exponential form is:

15980 = 2² × 5¹ × 17¹ × 47¹

Step-3: Factors of 15970

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

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

Step-4: Factors of 15980

List of positive integer factors of 15980 that divides 15970 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 47, 68, 85, 94, 170, 188, 235, 340, 470, 799, 940, 1598, 3196, 3995, 7990

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15970 and 15980. The biggest common factor number is the GCF number.
So the greatest common factor 15970 and 15980 is 10.

Also check out the Least Common Multiple of 15970 and 15980