What is the Greatest Common Factor of 16975 and 16985?

Greatest common factor (GCF) of 16975 and 16985 is 5.

GCF(16975,16985) = 5

We will now calculate the prime factors of 16975 and 16985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16975 and 16985.

How to find the GCF of 16975 and 16985?

We will first find the prime factorization of 16975 and 16985. After we will calculate the factors of 16975 and 16985 and find the biggest common factor number .

Step-1: Prime Factorization of 16975

Prime factors of 16975 are 5, 7, 97. Prime factorization of 16975 in exponential form is:

16975 = 5² × 7¹ × 97¹

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 16975

List of positive integer factors of 16975 that divides 16975 without a remainder.

1, 5, 7, 25, 35, 97, 175, 485, 679, 2425, 3395

Step-4: Factors of 16985

List of positive integer factors of 16985 that divides 16975 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16975 and 16985. The biggest common factor number is the GCF number.
So the greatest common factor 16975 and 16985 is 5.

Also check out the Least Common Multiple of 16975 and 16985