What is the Greatest Common Factor of 16974 and 16985?

Greatest common factor (GCF) of 16974 and 16985 is 1.

GCF(16974,16985) = 1

We will now calculate the prime factors of 16974 and 16985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16974 and 16985.

How to find the GCF of 16974 and 16985?

We will first find the prime factorization of 16974 and 16985. After we will calculate the factors of 16974 and 16985 and find the biggest common factor number .

Step-1: Prime Factorization of 16974

Prime factors of 16974 are 2, 3, 23, 41. Prime factorization of 16974 in exponential form is:

16974 = 2¹ × 3² × 23¹ × 41¹

Step-2: Prime Factorization of 16985

Prime factors of 16985 are 5, 43, 79. Prime factorization of 16985 in exponential form is:

16985 = 5¹ × 43¹ × 79¹

Step-3: Factors of 16974

List of positive integer factors of 16974 that divides 16974 without a remainder.

1, 2, 3, 6, 9, 18, 23, 41, 46, 69, 82, 123, 138, 207, 246, 369, 414, 738, 943, 1886, 2829, 5658, 8487

Step-4: Factors of 16985

List of positive integer factors of 16985 that divides 16974 without a remainder.

1, 5, 43, 79, 215, 395, 3397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16974 and 16985. The biggest common factor number is the GCF number.
So the greatest common factor 16974 and 16985 is 1.

Also check out the Least Common Multiple of 16974 and 16985