What is the Greatest Common Factor of 36025 and 36040?

Greatest common factor (GCF) of 36025 and 36040 is 5.

GCF(36025,36040) = 5

We will now calculate the prime factors of 36025 and 36040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36025 and 36040.

How to find the GCF of 36025 and 36040?

We will first find the prime factorization of 36025 and 36040. After we will calculate the factors of 36025 and 36040 and find the biggest common factor number .

Step-1: Prime Factorization of 36025

Prime factors of 36025 are 5, 11, 131. Prime factorization of 36025 in exponential form is:

36025 = 5² × 11¹ × 131¹

Step-2: Prime Factorization of 36040

Prime factors of 36040 are 2, 5, 17, 53. Prime factorization of 36040 in exponential form is:

36040 = 2³ × 5¹ × 17¹ × 53¹

Step-3: Factors of 36025

List of positive integer factors of 36025 that divides 36025 without a remainder.

1, 5, 11, 25, 55, 131, 275, 655, 1441, 3275, 7205

Step-4: Factors of 36040

List of positive integer factors of 36040 that divides 36025 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 53, 68, 85, 106, 136, 170, 212, 265, 340, 424, 530, 680, 901, 1060, 1802, 2120, 3604, 4505, 7208, 9010, 18020

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36025 and 36040. The biggest common factor number is the GCF number.
So the greatest common factor 36025 and 36040 is 5.

Also check out the Least Common Multiple of 36025 and 36040