What is the Greatest Common Factor of 35007 and 35025?

Greatest common factor (GCF) of 35007 and 35025 is 3.

GCF(35007,35025) = 3

We will now calculate the prime factors of 35007 and 35025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35007 and 35025.

How to find the GCF of 35007 and 35025?

We will first find the prime factorization of 35007 and 35025. After we will calculate the factors of 35007 and 35025 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 35025

Prime factors of 35025 are 3, 5, 467. Prime factorization of 35025 in exponential form is:

35025 = 3¹ × 5² × 467¹

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 35025

List of positive integer factors of 35025 that divides 35007 without a remainder.

1, 3, 5, 15, 25, 75, 467, 1401, 2335, 7005, 11675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35007 and 35025. The biggest common factor number is the GCF number.
So the greatest common factor 35007 and 35025 is 3.

Also check out the Least Common Multiple of 35007 and 35025