What is the Greatest Common Factor of 35025 and 35030?

Greatest common factor (GCF) of 35025 and 35030 is 5.

GCF(35025,35030) = 5

We will now calculate the prime factors of 35025 and 35030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35025 and 35030.

How to find the GCF of 35025 and 35030?

We will first find the prime factorization of 35025 and 35030. After we will calculate the factors of 35025 and 35030 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 35030

Prime factors of 35030 are 2, 5, 31, 113. Prime factorization of 35030 in exponential form is:

35030 = 2¹ × 5¹ × 31¹ × 113¹

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 35030

List of positive integer factors of 35030 that divides 35025 without a remainder.

1, 2, 5, 10, 31, 62, 113, 155, 226, 310, 565, 1130, 3503, 7006, 17515

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35025 and 35030. The biggest common factor number is the GCF number.
So the greatest common factor 35025 and 35030 is 5.

Also check out the Least Common Multiple of 35025 and 35030