What is the Greatest Common Factor of 36268 and 36272?

Greatest common factor (GCF) of 36268 and 36272 is 4.

GCF(36268,36272) = 4

We will now calculate the prime factors of 36268 and 36272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36268 and 36272.

How to find the GCF of 36268 and 36272?

We will first find the prime factorization of 36268 and 36272. After we will calculate the factors of 36268 and 36272 and find the biggest common factor number .

Step-1: Prime Factorization of 36268

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

36268 = 2² × 9067¹

Step-2: Prime Factorization of 36272

Prime factors of 36272 are 2, 2267. Prime factorization of 36272 in exponential form is:

36272 = 2⁴ × 2267¹

Step-3: Factors of 36268

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

1, 2, 4, 9067, 18134

Step-4: Factors of 36272

List of positive integer factors of 36272 that divides 36268 without a remainder.

1, 2, 4, 8, 16, 2267, 4534, 9068, 18136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36268 and 36272. The biggest common factor number is the GCF number.
So the greatest common factor 36268 and 36272 is 4.

Also check out the Least Common Multiple of 36268 and 36272