What is the Greatest Common Factor of 36806 and 36814?

Greatest common factor (GCF) of 36806 and 36814 is 2.

GCF(36806,36814) = 2

We will now calculate the prime factors of 36806 and 36814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36806 and 36814.

How to find the GCF of 36806 and 36814?

We will first find the prime factorization of 36806 and 36814. After we will calculate the factors of 36806 and 36814 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 36814

Prime factors of 36814 are 2, 79, 233. Prime factorization of 36814 in exponential form is:

36814 = 2¹ × 79¹ × 233¹

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 36814

List of positive integer factors of 36814 that divides 36806 without a remainder.

1, 2, 79, 158, 233, 466, 18407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36806 and 36814. The biggest common factor number is the GCF number.
So the greatest common factor 36806 and 36814 is 2.

Also check out the Least Common Multiple of 36806 and 36814