What is the Greatest Common Factor of 36802 and 36814?

Greatest common factor (GCF) of 36802 and 36814 is 2.

GCF(36802,36814) = 2

We will now calculate the prime factors of 36802 and 36814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36802 and 36814.

How to find the GCF of 36802 and 36814?

We will first find the prime factorization of 36802 and 36814. After we will calculate the factors of 36802 and 36814 and find the biggest common factor number .

Step-1: Prime Factorization of 36802

Prime factors of 36802 are 2, 18401. Prime factorization of 36802 in exponential form is:

36802 = 2¹ × 18401¹

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 36802

List of positive integer factors of 36802 that divides 36802 without a remainder.

1, 2, 18401

Step-4: Factors of 36814

List of positive integer factors of 36814 that divides 36802 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36802 and 36814. The biggest common factor number is the GCF number.
So the greatest common factor 36802 and 36814 is 2.

Also check out the Least Common Multiple of 36802 and 36814