What is the Greatest Common Factor of 35007 and 35023?

Greatest common factor (GCF) of 35007 and 35023 is 1.

GCF(35007,35023) = 1

We will now calculate the prime factors of 35007 and 35023, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35007 and 35023.

How to find the GCF of 35007 and 35023?

We will first find the prime factorization of 35007 and 35023. After we will calculate the factors of 35007 and 35023 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 35023

Prime factors of 35023 are 35023. Prime factorization of 35023 in exponential form is:

35023 = 35023¹

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 35023

List of positive integer factors of 35023 that divides 35007 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35007 and 35023. The biggest common factor number is the GCF number.
So the greatest common factor 35007 and 35023 is 1.

Also check out the Least Common Multiple of 35007 and 35023