What is the Greatest Common Factor of 34998 and 35013?

Greatest common factor (GCF) of 34998 and 35013 is 3.

GCF(34998,35013) = 3

We will now calculate the prime factors of 34998 and 35013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34998 and 35013.

How to find the GCF of 34998 and 35013?

We will first find the prime factorization of 34998 and 35013. After we will calculate the factors of 34998 and 35013 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 35013

Prime factors of 35013 are 3, 11, 1061. Prime factorization of 35013 in exponential form is:

35013 = 3¹ × 11¹ × 1061¹

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 35013

List of positive integer factors of 35013 that divides 34998 without a remainder.

1, 3, 11, 33, 1061, 3183, 11671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34998 and 35013. The biggest common factor number is the GCF number.
So the greatest common factor 34998 and 35013 is 3.

Also check out the Least Common Multiple of 34998 and 35013