What is the Greatest Common Factor of 64608 and 64614?

Greatest common factor (GCF) of 64608 and 64614 is 6.

GCF(64608,64614) = 6

We will now calculate the prime factors of 64608 and 64614, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64608 and 64614.

How to find the GCF of 64608 and 64614?

We will first find the prime factorization of 64608 and 64614. After we will calculate the factors of 64608 and 64614 and find the biggest common factor number .

Step-1: Prime Factorization of 64608

Prime factors of 64608 are 2, 3, 673. Prime factorization of 64608 in exponential form is:

64608 = 2⁵ × 3¹ × 673¹

Step-2: Prime Factorization of 64614

Prime factors of 64614 are 2, 3, 11, 89. Prime factorization of 64614 in exponential form is:

64614 = 2¹ × 3¹ × 11² × 89¹

Step-3: Factors of 64608

List of positive integer factors of 64608 that divides 64608 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 673, 1346, 2019, 2692, 4038, 5384, 8076, 10768, 16152, 21536, 32304

Step-4: Factors of 64614

List of positive integer factors of 64614 that divides 64608 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 89, 121, 178, 242, 267, 363, 534, 726, 979, 1958, 2937, 5874, 10769, 21538, 32307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64608 and 64614. The biggest common factor number is the GCF number.
So the greatest common factor 64608 and 64614 is 6.

Also check out the Least Common Multiple of 64608 and 64614