What is the Greatest Common Factor of 36814 and 36830?

Greatest common factor (GCF) of 36814 and 36830 is 2.

GCF(36814,36830) = 2

We will now calculate the prime factors of 36814 and 36830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36814 and 36830.

How to find the GCF of 36814 and 36830?

We will first find the prime factorization of 36814 and 36830. After we will calculate the factors of 36814 and 36830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36830

Prime factors of 36830 are 2, 5, 29, 127. Prime factorization of 36830 in exponential form is:

36830 = 2¹ × 5¹ × 29¹ × 127¹

Step-3: Factors of 36814

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

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

Step-4: Factors of 36830

List of positive integer factors of 36830 that divides 36814 without a remainder.

1, 2, 5, 10, 29, 58, 127, 145, 254, 290, 635, 1270, 3683, 7366, 18415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36814 and 36830. The biggest common factor number is the GCF number.
So the greatest common factor 36814 and 36830 is 2.

Also check out the Least Common Multiple of 36814 and 36830