What is the Greatest Common Factor of 36014 and 36025?

Greatest common factor (GCF) of 36014 and 36025 is 11.

GCF(36014,36025) = 11

We will now calculate the prime factors of 36014 and 36025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36014 and 36025.

How to find the GCF of 36014 and 36025?

We will first find the prime factorization of 36014 and 36025. After we will calculate the factors of 36014 and 36025 and find the biggest common factor number .

Step-1: Prime Factorization of 36014

Prime factors of 36014 are 2, 11, 1637. Prime factorization of 36014 in exponential form is:

36014 = 2¹ × 11¹ × 1637¹

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 36014

List of positive integer factors of 36014 that divides 36014 without a remainder.

1, 2, 11, 22, 1637, 3274, 18007

Step-4: Factors of 36025

List of positive integer factors of 36025 that divides 36014 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 36014 and 36025. The biggest common factor number is the GCF number.
So the greatest common factor 36014 and 36025 is 11.

Also check out the Least Common Multiple of 36014 and 36025