What is the Greatest Common Factor of 36626 and 36636?

Greatest common factor (GCF) of 36626 and 36636 is 2.

GCF(36626,36636) = 2

We will now calculate the prime factors of 36626 and 36636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36626 and 36636.

How to find the GCF of 36626 and 36636?

We will first find the prime factorization of 36626 and 36636. After we will calculate the factors of 36626 and 36636 and find the biggest common factor number .

Step-1: Prime Factorization of 36626

Prime factors of 36626 are 2, 18313. Prime factorization of 36626 in exponential form is:

36626 = 2¹ × 18313¹

Step-2: Prime Factorization of 36636

Prime factors of 36636 are 2, 3, 43, 71. Prime factorization of 36636 in exponential form is:

36636 = 2² × 3¹ × 43¹ × 71¹

Step-3: Factors of 36626

List of positive integer factors of 36626 that divides 36626 without a remainder.

1, 2, 18313

Step-4: Factors of 36636

List of positive integer factors of 36636 that divides 36626 without a remainder.

1, 2, 3, 4, 6, 12, 43, 71, 86, 129, 142, 172, 213, 258, 284, 426, 516, 852, 3053, 6106, 9159, 12212, 18318

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36626 and 36636. The biggest common factor number is the GCF number.
So the greatest common factor 36626 and 36636 is 2.

Also check out the Least Common Multiple of 36626 and 36636