What is the Greatest Common Factor of 36272 and 36278?

Greatest common factor (GCF) of 36272 and 36278 is 2.

GCF(36272,36278) = 2

We will now calculate the prime factors of 36272 and 36278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36272 and 36278.

How to find the GCF of 36272 and 36278?

We will first find the prime factorization of 36272 and 36278. After we will calculate the factors of 36272 and 36278 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 36278

Prime factors of 36278 are 2, 11, 17, 97. Prime factorization of 36278 in exponential form is:

36278 = 2¹ × 11¹ × 17¹ × 97¹

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 36278

List of positive integer factors of 36278 that divides 36272 without a remainder.

1, 2, 11, 17, 22, 34, 97, 187, 194, 374, 1067, 1649, 2134, 3298, 18139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36272 and 36278. The biggest common factor number is the GCF number.
So the greatest common factor 36272 and 36278 is 2.

Also check out the Least Common Multiple of 36272 and 36278