What is the Greatest Common Factor of 36890 and 36908?

Greatest common factor (GCF) of 36890 and 36908 is 2.

GCF(36890,36908) = 2

We will now calculate the prime factors of 36890 and 36908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36890 and 36908.

How to find the GCF of 36890 and 36908?

We will first find the prime factorization of 36890 and 36908. After we will calculate the factors of 36890 and 36908 and find the biggest common factor number .

Step-1: Prime Factorization of 36890

Prime factors of 36890 are 2, 5, 7, 17, 31. Prime factorization of 36890 in exponential form is:

36890 = 2¹ × 5¹ × 7¹ × 17¹ × 31¹

Step-2: Prime Factorization of 36908

Prime factors of 36908 are 2, 9227. Prime factorization of 36908 in exponential form is:

36908 = 2² × 9227¹

Step-3: Factors of 36890

List of positive integer factors of 36890 that divides 36890 without a remainder.

1, 2, 5, 7, 10, 14, 17, 31, 34, 35, 62, 70, 85, 119, 155, 170, 217, 238, 310, 434, 527, 595, 1054, 1085, 1190, 2170, 2635, 3689, 5270, 7378, 18445

Step-4: Factors of 36908

List of positive integer factors of 36908 that divides 36890 without a remainder.

1, 2, 4, 9227, 18454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36890 and 36908. The biggest common factor number is the GCF number.
So the greatest common factor 36890 and 36908 is 2.

Also check out the Least Common Multiple of 36890 and 36908