What is the Greatest Common Factor of 15670 and 15678?

Greatest common factor (GCF) of 15670 and 15678 is 2.

GCF(15670,15678) = 2

We will now calculate the prime factors of 15670 and 15678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15670 and 15678.

How to find the GCF of 15670 and 15678?

We will first find the prime factorization of 15670 and 15678. After we will calculate the factors of 15670 and 15678 and find the biggest common factor number .

Step-1: Prime Factorization of 15670

Prime factors of 15670 are 2, 5, 1567. Prime factorization of 15670 in exponential form is:

15670 = 2¹ × 5¹ × 1567¹

Step-2: Prime Factorization of 15678

Prime factors of 15678 are 2, 3, 13, 67. Prime factorization of 15678 in exponential form is:

15678 = 2¹ × 3² × 13¹ × 67¹

Step-3: Factors of 15670

List of positive integer factors of 15670 that divides 15670 without a remainder.

1, 2, 5, 10, 1567, 3134, 7835

Step-4: Factors of 15678

List of positive integer factors of 15678 that divides 15670 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 67, 78, 117, 134, 201, 234, 402, 603, 871, 1206, 1742, 2613, 5226, 7839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15670 and 15678. The biggest common factor number is the GCF number.
So the greatest common factor 15670 and 15678 is 2.

Also check out the Least Common Multiple of 15670 and 15678