What is the Greatest Common Factor of 64290 and 64295?

Greatest common factor (GCF) of 64290 and 64295 is 5.

GCF(64290,64295) = 5

We will now calculate the prime factors of 64290 and 64295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64290 and 64295.

How to find the GCF of 64290 and 64295?

We will first find the prime factorization of 64290 and 64295. After we will calculate the factors of 64290 and 64295 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 64295

Prime factors of 64295 are 5, 7, 11, 167. Prime factorization of 64295 in exponential form is:

64295 = 5¹ × 7¹ × 11¹ × 167¹

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 64295

List of positive integer factors of 64295 that divides 64290 without a remainder.

1, 5, 7, 11, 35, 55, 77, 167, 385, 835, 1169, 1837, 5845, 9185, 12859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64290 and 64295. The biggest common factor number is the GCF number.
So the greatest common factor 64290 and 64295 is 5.

Also check out the Least Common Multiple of 64290 and 64295