What is the Greatest Common Factor of 64784 and 64789?

Greatest common factor (GCF) of 64784 and 64789 is 1.

GCF(64784,64789) = 1

We will now calculate the prime factors of 64784 and 64789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64784 and 64789.

How to find the GCF of 64784 and 64789?

We will first find the prime factorization of 64784 and 64789. After we will calculate the factors of 64784 and 64789 and find the biggest common factor number .

Step-1: Prime Factorization of 64784

Prime factors of 64784 are 2, 4049. Prime factorization of 64784 in exponential form is:

64784 = 2⁴ × 4049¹

Step-2: Prime Factorization of 64789

Prime factors of 64789 are 67, 967. Prime factorization of 64789 in exponential form is:

64789 = 67¹ × 967¹

Step-3: Factors of 64784

List of positive integer factors of 64784 that divides 64784 without a remainder.

1, 2, 4, 8, 16, 4049, 8098, 16196, 32392

Step-4: Factors of 64789

List of positive integer factors of 64789 that divides 64784 without a remainder.

1, 67, 967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64784 and 64789. The biggest common factor number is the GCF number.
So the greatest common factor 64784 and 64789 is 1.

Also check out the Least Common Multiple of 64784 and 64789