What is the Greatest Common Factor of 15974 and 15985?

Greatest common factor (GCF) of 15974 and 15985 is 1.

GCF(15974,15985) = 1

We will now calculate the prime factors of 15974 and 15985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15974 and 15985.

How to find the GCF of 15974 and 15985?

We will first find the prime factorization of 15974 and 15985. After we will calculate the factors of 15974 and 15985 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 15985

Prime factors of 15985 are 5, 23, 139. Prime factorization of 15985 in exponential form is:

15985 = 5¹ × 23¹ × 139¹

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 15985

List of positive integer factors of 15985 that divides 15974 without a remainder.

1, 5, 23, 115, 139, 695, 3197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15974 and 15985. The biggest common factor number is the GCF number.
So the greatest common factor 15974 and 15985 is 1.

Also check out the Least Common Multiple of 15974 and 15985