What is the Greatest Common Factor of 36890 and 36905?

Greatest common factor (GCF) of 36890 and 36905 is 5.

GCF(36890,36905) = 5

We will now calculate the prime factors of 36890 and 36905, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36890 and 36905.

How to find the GCF of 36890 and 36905?

We will first find the prime factorization of 36890 and 36905. After we will calculate the factors of 36890 and 36905 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 36905

Prime factors of 36905 are 5, 11, 61. Prime factorization of 36905 in exponential form is:

36905 = 5¹ × 11² × 61¹

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 36905

List of positive integer factors of 36905 that divides 36890 without a remainder.

1, 5, 11, 55, 61, 121, 305, 605, 671, 3355, 7381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36890 and 36905. The biggest common factor number is the GCF number.
So the greatest common factor 36890 and 36905 is 5.

Also check out the Least Common Multiple of 36890 and 36905