What is the Greatest Common Factor of 36007 and 36025?

Greatest common factor (GCF) of 36007 and 36025 is 1.

GCF(36007,36025) = 1

We will now calculate the prime factors of 36007 and 36025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36007 and 36025.

How to find the GCF of 36007 and 36025?

We will first find the prime factorization of 36007 and 36025. After we will calculate the factors of 36007 and 36025 and find the biggest common factor number .

Step-1: Prime Factorization of 36007

Prime factors of 36007 are 36007. Prime factorization of 36007 in exponential form is:

36007 = 36007¹

Step-2: 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-3: Factors of 36007

List of positive integer factors of 36007 that divides 36007 without a remainder.

Step-4: Factors of 36025

List of positive integer factors of 36025 that divides 36007 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36007 and 36025. The biggest common factor number is the GCF number.
So the greatest common factor 36007 and 36025 is 1.

Also check out the Least Common Multiple of 36007 and 36025