What is the Greatest Common Factor of 63890 and 63909?

Greatest common factor (GCF) of 63890 and 63909 is 1.

GCF(63890,63909) = 1

We will now calculate the prime factors of 63890 and 63909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63890 and 63909.

How to find the GCF of 63890 and 63909?

We will first find the prime factorization of 63890 and 63909. After we will calculate the factors of 63890 and 63909 and find the biggest common factor number .

Step-1: Prime Factorization of 63890

Prime factors of 63890 are 2, 5, 6389. Prime factorization of 63890 in exponential form is:

63890 = 2¹ × 5¹ × 6389¹

Step-2: Prime Factorization of 63909

Prime factors of 63909 are 3, 263. Prime factorization of 63909 in exponential form is:

63909 = 3⁵ × 263¹

Step-3: Factors of 63890

List of positive integer factors of 63890 that divides 63890 without a remainder.

1, 2, 5, 10, 6389, 12778, 31945

Step-4: Factors of 63909

List of positive integer factors of 63909 that divides 63890 without a remainder.

1, 3, 9, 27, 81, 243, 263, 789, 2367, 7101, 21303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63890 and 63909. The biggest common factor number is the GCF number.
So the greatest common factor 63890 and 63909 is 1.

Also check out the Least Common Multiple of 63890 and 63909