What is the Greatest Common Factor of 36272 and 36292?

Greatest common factor (GCF) of 36272 and 36292 is 4.

GCF(36272,36292) = 4

We will now calculate the prime factors of 36272 and 36292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36272 and 36292.

How to find the GCF of 36272 and 36292?

We will first find the prime factorization of 36272 and 36292. After we will calculate the factors of 36272 and 36292 and find the biggest common factor number .

Step-1: Prime Factorization of 36272

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

36272 = 2⁴ × 2267¹

Step-2: Prime Factorization of 36292

Prime factors of 36292 are 2, 43, 211. Prime factorization of 36292 in exponential form is:

36292 = 2² × 43¹ × 211¹

Step-3: Factors of 36272

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

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

Step-4: Factors of 36292

List of positive integer factors of 36292 that divides 36272 without a remainder.

1, 2, 4, 43, 86, 172, 211, 422, 844, 9073, 18146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36272 and 36292. The biggest common factor number is the GCF number.
So the greatest common factor 36272 and 36292 is 4.

Also check out the Least Common Multiple of 36272 and 36292