What is the Greatest Common Factor of 36890 and 36902?

Greatest common factor (GCF) of 36890 and 36902 is 2.

GCF(36890,36902) = 2

We will now calculate the prime factors of 36890 and 36902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36890 and 36902.

How to find the GCF of 36890 and 36902?

We will first find the prime factorization of 36890 and 36902. After we will calculate the factors of 36890 and 36902 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 36902

Prime factors of 36902 are 2, 18451. Prime factorization of 36902 in exponential form is:

36902 = 2¹ × 18451¹

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 36902

List of positive integer factors of 36902 that divides 36890 without a remainder.

1, 2, 18451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36890 and 36902. The biggest common factor number is the GCF number.
So the greatest common factor 36890 and 36902 is 2.

Also check out the Least Common Multiple of 36890 and 36902