What is the Greatest Common Factor of 64678 and 64698?

Greatest common factor (GCF) of 64678 and 64698 is 2.

GCF(64678,64698) = 2

We will now calculate the prime factors of 64678 and 64698, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64678 and 64698.

How to find the GCF of 64678 and 64698?

We will first find the prime factorization of 64678 and 64698. After we will calculate the factors of 64678 and 64698 and find the biggest common factor number .

Step-1: Prime Factorization of 64678

Prime factors of 64678 are 2, 73, 443. Prime factorization of 64678 in exponential form is:

64678 = 2¹ × 73¹ × 443¹

Step-2: Prime Factorization of 64698

Prime factors of 64698 are 2, 3, 41, 263. Prime factorization of 64698 in exponential form is:

64698 = 2¹ × 3¹ × 41¹ × 263¹

Step-3: Factors of 64678

List of positive integer factors of 64678 that divides 64678 without a remainder.

1, 2, 73, 146, 443, 886, 32339

Step-4: Factors of 64698

List of positive integer factors of 64698 that divides 64678 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246, 263, 526, 789, 1578, 10783, 21566, 32349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64678 and 64698. The biggest common factor number is the GCF number.
So the greatest common factor 64678 and 64698 is 2.

Also check out the Least Common Multiple of 64678 and 64698