What is the Greatest Common Factor of 36239 and 36253?

Greatest common factor (GCF) of 36239 and 36253 is 7.

GCF(36239,36253) = 7

We will now calculate the prime factors of 36239 and 36253, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36239 and 36253.

How to find the GCF of 36239 and 36253?

We will first find the prime factorization of 36239 and 36253. After we will calculate the factors of 36239 and 36253 and find the biggest common factor number .

Step-1: Prime Factorization of 36239

Prime factors of 36239 are 7, 31, 167. Prime factorization of 36239 in exponential form is:

36239 = 7¹ × 31¹ × 167¹

Step-2: Prime Factorization of 36253

Prime factors of 36253 are 7, 5179. Prime factorization of 36253 in exponential form is:

36253 = 7¹ × 5179¹

Step-3: Factors of 36239

List of positive integer factors of 36239 that divides 36239 without a remainder.

1, 7, 31, 167, 217, 1169, 5177

Step-4: Factors of 36253

List of positive integer factors of 36253 that divides 36239 without a remainder.

1, 7, 5179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36239 and 36253. The biggest common factor number is the GCF number.
So the greatest common factor 36239 and 36253 is 7.

Also check out the Least Common Multiple of 36239 and 36253