What is the Greatest Common Factor of 36806 and 36824?

Greatest common factor (GCF) of 36806 and 36824 is 2.

GCF(36806,36824) = 2

We will now calculate the prime factors of 36806 and 36824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36806 and 36824.

How to find the GCF of 36806 and 36824?

We will first find the prime factorization of 36806 and 36824. After we will calculate the factors of 36806 and 36824 and find the biggest common factor number .

Step-1: Prime Factorization of 36806

Prime factors of 36806 are 2, 7, 11, 239. Prime factorization of 36806 in exponential form is:

36806 = 2¹ × 7¹ × 11¹ × 239¹

Step-2: Prime Factorization of 36824

Prime factors of 36824 are 2, 4603. Prime factorization of 36824 in exponential form is:

36824 = 2³ × 4603¹

Step-3: Factors of 36806

List of positive integer factors of 36806 that divides 36806 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 239, 478, 1673, 2629, 3346, 5258, 18403

Step-4: Factors of 36824

List of positive integer factors of 36824 that divides 36806 without a remainder.

1, 2, 4, 8, 4603, 9206, 18412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36806 and 36824. The biggest common factor number is the GCF number.
So the greatest common factor 36806 and 36824 is 2.

Also check out the Least Common Multiple of 36806 and 36824