What is the Greatest Common Factor of 36025 and 36037?

Greatest common factor (GCF) of 36025 and 36037 is 1.

GCF(36025,36037) = 1

We will now calculate the prime factors of 36025 and 36037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36025 and 36037.

How to find the GCF of 36025 and 36037?

We will first find the prime factorization of 36025 and 36037. After we will calculate the factors of 36025 and 36037 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 36037

Prime factors of 36037 are 36037. Prime factorization of 36037 in exponential form is:

36037 = 36037¹

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 36037

List of positive integer factors of 36037 that divides 36025 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36025 and 36037. The biggest common factor number is the GCF number.
So the greatest common factor 36025 and 36037 is 1.

Also check out the Least Common Multiple of 36025 and 36037