What is the Greatest Common Factor of 36806 and 36820?

Greatest common factor (GCF) of 36806 and 36820 is 14.

GCF(36806,36820) = 14

We will now calculate the prime factors of 36806 and 36820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36806 and 36820.

How to find the GCF of 36806 and 36820?

We will first find the prime factorization of 36806 and 36820. After we will calculate the factors of 36806 and 36820 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 36820

Prime factors of 36820 are 2, 5, 7, 263. Prime factorization of 36820 in exponential form is:

36820 = 2² × 5¹ × 7¹ × 263¹

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 36820

List of positive integer factors of 36820 that divides 36806 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 263, 526, 1052, 1315, 1841, 2630, 3682, 5260, 7364, 9205, 18410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36806 and 36820. The biggest common factor number is the GCF number.
So the greatest common factor 36806 and 36820 is 14.

Also check out the Least Common Multiple of 36806 and 36820