What is the Greatest Common Factor of 15974 and 15988?

Greatest common factor (GCF) of 15974 and 15988 is 14.

GCF(15974,15988) = 14

We will now calculate the prime factors of 15974 and 15988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15974 and 15988.

How to find the GCF of 15974 and 15988?

We will first find the prime factorization of 15974 and 15988. After we will calculate the factors of 15974 and 15988 and find the biggest common factor number .

Step-1: Prime Factorization of 15974

Prime factors of 15974 are 2, 7, 163. Prime factorization of 15974 in exponential form is:

15974 = 2¹ × 7² × 163¹

Step-2: Prime Factorization of 15988

Prime factors of 15988 are 2, 7, 571. Prime factorization of 15988 in exponential form is:

15988 = 2² × 7¹ × 571¹

Step-3: Factors of 15974

List of positive integer factors of 15974 that divides 15974 without a remainder.

1, 2, 7, 14, 49, 98, 163, 326, 1141, 2282, 7987

Step-4: Factors of 15988

List of positive integer factors of 15988 that divides 15974 without a remainder.

1, 2, 4, 7, 14, 28, 571, 1142, 2284, 3997, 7994

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15974 and 15988. The biggest common factor number is the GCF number.
So the greatest common factor 15974 and 15988 is 14.

Also check out the Least Common Multiple of 15974 and 15988