What is the Greatest Common Factor of 35025 and 35037?

Greatest common factor (GCF) of 35025 and 35037 is 3.

GCF(35025,35037) = 3

We will now calculate the prime factors of 35025 and 35037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35025 and 35037.

How to find the GCF of 35025 and 35037?

We will first find the prime factorization of 35025 and 35037. After we will calculate the factors of 35025 and 35037 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35037

Prime factors of 35037 are 3, 17, 229. Prime factorization of 35037 in exponential form is:

35037 = 3² × 17¹ × 229¹

Step-3: Factors of 35025

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

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

Step-4: Factors of 35037

List of positive integer factors of 35037 that divides 35025 without a remainder.

1, 3, 9, 17, 51, 153, 229, 687, 2061, 3893, 11679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35025 and 35037. The biggest common factor number is the GCF number.
So the greatest common factor 35025 and 35037 is 3.

Also check out the Least Common Multiple of 35025 and 35037