What is the Greatest Common Factor of 64204 and 64218?

Greatest common factor (GCF) of 64204 and 64218 is 14.

GCF(64204,64218) = 14

We will now calculate the prime factors of 64204 and 64218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64204 and 64218.

How to find the GCF of 64204 and 64218?

We will first find the prime factorization of 64204 and 64218. After we will calculate the factors of 64204 and 64218 and find the biggest common factor number .

Step-1: Prime Factorization of 64204

Prime factors of 64204 are 2, 7, 2293. Prime factorization of 64204 in exponential form is:

64204 = 2² × 7¹ × 2293¹

Step-2: Prime Factorization of 64218

Prime factors of 64218 are 2, 3, 7, 11, 139. Prime factorization of 64218 in exponential form is:

64218 = 2¹ × 3¹ × 7¹ × 11¹ × 139¹

Step-3: Factors of 64204

List of positive integer factors of 64204 that divides 64204 without a remainder.

1, 2, 4, 7, 14, 28, 2293, 4586, 9172, 16051, 32102

Step-4: Factors of 64218

List of positive integer factors of 64218 that divides 64204 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 139, 154, 231, 278, 417, 462, 834, 973, 1529, 1946, 2919, 3058, 4587, 5838, 9174, 10703, 21406, 32109

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64204 and 64218. The biggest common factor number is the GCF number.
So the greatest common factor 64204 and 64218 is 14.

Also check out the Least Common Multiple of 64204 and 64218