What is the Greatest Common Factor of 36220 and 36226?

Greatest common factor (GCF) of 36220 and 36226 is 2.

GCF(36220,36226) = 2

We will now calculate the prime factors of 36220 and 36226, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36220 and 36226.

How to find the GCF of 36220 and 36226?

We will first find the prime factorization of 36220 and 36226. After we will calculate the factors of 36220 and 36226 and find the biggest common factor number .

Step-1: Prime Factorization of 36220

Prime factors of 36220 are 2, 5, 1811. Prime factorization of 36220 in exponential form is:

36220 = 2² × 5¹ × 1811¹

Step-2: Prime Factorization of 36226

Prime factors of 36226 are 2, 59, 307. Prime factorization of 36226 in exponential form is:

36226 = 2¹ × 59¹ × 307¹

Step-3: Factors of 36220

List of positive integer factors of 36220 that divides 36220 without a remainder.

1, 2, 4, 5, 10, 20, 1811, 3622, 7244, 9055, 18110

Step-4: Factors of 36226

List of positive integer factors of 36226 that divides 36220 without a remainder.

1, 2, 59, 118, 307, 614, 18113

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36220 and 36226. The biggest common factor number is the GCF number.
So the greatest common factor 36220 and 36226 is 2.

Also check out the Least Common Multiple of 36220 and 36226