What is the Greatest Common Factor of 64387 and 64407?

Greatest common factor (GCF) of 64387 and 64407 is 1.

GCF(64387,64407) = 1

We will now calculate the prime factors of 64387 and 64407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64387 and 64407.

How to find the GCF of 64387 and 64407?

We will first find the prime factorization of 64387 and 64407. After we will calculate the factors of 64387 and 64407 and find the biggest common factor number .

Step-1: Prime Factorization of 64387

Prime factors of 64387 are 31, 67. Prime factorization of 64387 in exponential form is:

64387 = 31² × 67¹

Step-2: Prime Factorization of 64407

Prime factors of 64407 are 3, 7, 3067. Prime factorization of 64407 in exponential form is:

64407 = 3¹ × 7¹ × 3067¹

Step-3: Factors of 64387

List of positive integer factors of 64387 that divides 64387 without a remainder.

1, 31, 67, 961, 2077

Step-4: Factors of 64407

List of positive integer factors of 64407 that divides 64387 without a remainder.

1, 3, 7, 21, 3067, 9201, 21469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64387 and 64407. The biggest common factor number is the GCF number.
So the greatest common factor 64387 and 64407 is 1.

Also check out the Least Common Multiple of 64387 and 64407