What is the Greatest Common Factor of 63989 and 64009?

Greatest common factor (GCF) of 63989 and 64009 is 1.

GCF(63989,64009) = 1

We will now calculate the prime factors of 63989 and 64009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63989 and 64009.

How to find the GCF of 63989 and 64009?

We will first find the prime factorization of 63989 and 64009. After we will calculate the factors of 63989 and 64009 and find the biggest common factor number .

Step-1: Prime Factorization of 63989

Prime factors of 63989 are 61, 1049. Prime factorization of 63989 in exponential form is:

63989 = 61¹ × 1049¹

Step-2: Prime Factorization of 64009

Prime factors of 64009 are 11, 23. Prime factorization of 64009 in exponential form is:

64009 = 11² × 23²

Step-3: Factors of 63989

List of positive integer factors of 63989 that divides 63989 without a remainder.

1, 61, 1049

Step-4: Factors of 64009

List of positive integer factors of 64009 that divides 63989 without a remainder.

1, 11, 23, 121, 253, 529, 2783, 5819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63989 and 64009. The biggest common factor number is the GCF number.
So the greatest common factor 63989 and 64009 is 1.

Also check out the Least Common Multiple of 63989 and 64009