What is the Greatest Common Factor of 36250 and 36268?

Greatest common factor (GCF) of 36250 and 36268 is 2.

GCF(36250,36268) = 2

We will now calculate the prime factors of 36250 and 36268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36250 and 36268.

How to find the GCF of 36250 and 36268?

We will first find the prime factorization of 36250 and 36268. After we will calculate the factors of 36250 and 36268 and find the biggest common factor number .

Step-1: Prime Factorization of 36250

Prime factors of 36250 are 2, 5, 29. Prime factorization of 36250 in exponential form is:

36250 = 2¹ × 5⁴ × 29¹

Step-2: Prime Factorization of 36268

Prime factors of 36268 are 2, 9067. Prime factorization of 36268 in exponential form is:

36268 = 2² × 9067¹

Step-3: Factors of 36250

List of positive integer factors of 36250 that divides 36250 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 625, 725, 1250, 1450, 3625, 7250, 18125

Step-4: Factors of 36268

List of positive integer factors of 36268 that divides 36250 without a remainder.

1, 2, 4, 9067, 18134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36250 and 36268. The biggest common factor number is the GCF number.
So the greatest common factor 36250 and 36268 is 2.

Also check out the Least Common Multiple of 36250 and 36268