What is the Greatest Common Factor of 35007 and 35019?

Greatest common factor (GCF) of 35007 and 35019 is 3.

GCF(35007,35019) = 3

We will now calculate the prime factors of 35007 and 35019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35007 and 35019.

How to find the GCF of 35007 and 35019?

We will first find the prime factorization of 35007 and 35019. After we will calculate the factors of 35007 and 35019 and find the biggest common factor number .

Step-1: Prime Factorization of 35007

Prime factors of 35007 are 3, 7, 1667. Prime factorization of 35007 in exponential form is:

35007 = 3¹ × 7¹ × 1667¹

Step-2: Prime Factorization of 35019

Prime factors of 35019 are 3, 1297. Prime factorization of 35019 in exponential form is:

35019 = 3³ × 1297¹

Step-3: Factors of 35007

List of positive integer factors of 35007 that divides 35007 without a remainder.

1, 3, 7, 21, 1667, 5001, 11669

Step-4: Factors of 35019

List of positive integer factors of 35019 that divides 35007 without a remainder.

1, 3, 9, 27, 1297, 3891, 11673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35007 and 35019. The biggest common factor number is the GCF number.
So the greatest common factor 35007 and 35019 is 3.

Also check out the Least Common Multiple of 35007 and 35019