What is the Greatest Common Factor of 36898 and 36917?

Greatest common factor (GCF) of 36898 and 36917 is 19.

GCF(36898,36917) = 19

We will now calculate the prime factors of 36898 and 36917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36898 and 36917.

How to find the GCF of 36898 and 36917?

We will first find the prime factorization of 36898 and 36917. After we will calculate the factors of 36898 and 36917 and find the biggest common factor number .

Step-1: Prime Factorization of 36898

Prime factors of 36898 are 2, 19, 971. Prime factorization of 36898 in exponential form is:

36898 = 2¹ × 19¹ × 971¹

Step-2: Prime Factorization of 36917

Prime factors of 36917 are 19, 29, 67. Prime factorization of 36917 in exponential form is:

36917 = 19¹ × 29¹ × 67¹

Step-3: Factors of 36898

List of positive integer factors of 36898 that divides 36898 without a remainder.

1, 2, 19, 38, 971, 1942, 18449

Step-4: Factors of 36917

List of positive integer factors of 36917 that divides 36898 without a remainder.

1, 19, 29, 67, 551, 1273, 1943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36898 and 36917. The biggest common factor number is the GCF number.
So the greatest common factor 36898 and 36917 is 19.

Also check out the Least Common Multiple of 36898 and 36917