What is the Greatest Common Factor of 64290 and 64308?

Greatest common factor (GCF) of 64290 and 64308 is 6.

GCF(64290,64308) = 6

We will now calculate the prime factors of 64290 and 64308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64290 and 64308.

How to find the GCF of 64290 and 64308?

We will first find the prime factorization of 64290 and 64308. After we will calculate the factors of 64290 and 64308 and find the biggest common factor number .

Step-1: Prime Factorization of 64290

Prime factors of 64290 are 2, 3, 5, 2143. Prime factorization of 64290 in exponential form is:

64290 = 2¹ × 3¹ × 5¹ × 2143¹

Step-2: Prime Factorization of 64308

Prime factors of 64308 are 2, 3, 23, 233. Prime factorization of 64308 in exponential form is:

64308 = 2² × 3¹ × 23¹ × 233¹

Step-3: Factors of 64290

List of positive integer factors of 64290 that divides 64290 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2143, 4286, 6429, 10715, 12858, 21430, 32145

Step-4: Factors of 64308

List of positive integer factors of 64308 that divides 64290 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 233, 276, 466, 699, 932, 1398, 2796, 5359, 10718, 16077, 21436, 32154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64290 and 64308. The biggest common factor number is the GCF number.
So the greatest common factor 64290 and 64308 is 6.

Also check out the Least Common Multiple of 64290 and 64308