What is the Greatest Common Factor of 64204 and 64208?

Greatest common factor (GCF) of 64204 and 64208 is 4.

GCF(64204,64208) = 4

We will now calculate the prime factors of 64204 and 64208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64204 and 64208.

How to find the GCF of 64204 and 64208?

We will first find the prime factorization of 64204 and 64208. After we will calculate the factors of 64204 and 64208 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 64208

Prime factors of 64208 are 2, 4013. Prime factorization of 64208 in exponential form is:

64208 = 2⁴ × 4013¹

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 64208

List of positive integer factors of 64208 that divides 64204 without a remainder.

1, 2, 4, 8, 16, 4013, 8026, 16052, 32104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64204 and 64208. The biggest common factor number is the GCF number.
So the greatest common factor 64204 and 64208 is 4.

Also check out the Least Common Multiple of 64204 and 64208