What is the Greatest Common Factor of 34998 and 35017?

Greatest common factor (GCF) of 34998 and 35017 is 19.

GCF(34998,35017) = 19

We will now calculate the prime factors of 34998 and 35017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34998 and 35017.

How to find the GCF of 34998 and 35017?

We will first find the prime factorization of 34998 and 35017. After we will calculate the factors of 34998 and 35017 and find the biggest common factor number .

Step-1: Prime Factorization of 34998

Prime factors of 34998 are 2, 3, 19, 307. Prime factorization of 34998 in exponential form is:

34998 = 2¹ × 3¹ × 19¹ × 307¹

Step-2: Prime Factorization of 35017

Prime factors of 35017 are 19, 97. Prime factorization of 35017 in exponential form is:

35017 = 19² × 97¹

Step-3: Factors of 34998

List of positive integer factors of 34998 that divides 34998 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 307, 614, 921, 1842, 5833, 11666, 17499

Step-4: Factors of 35017

List of positive integer factors of 35017 that divides 34998 without a remainder.

1, 19, 97, 361, 1843

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34998 and 35017. The biggest common factor number is the GCF number.
So the greatest common factor 34998 and 35017 is 19.

Also check out the Least Common Multiple of 34998 and 35017