What is the Greatest Common Factor of 64228 and 64240?

Greatest common factor (GCF) of 64228 and 64240 is 4.

GCF(64228,64240) = 4

We will now calculate the prime factors of 64228 and 64240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64228 and 64240.

How to find the GCF of 64228 and 64240?

We will first find the prime factorization of 64228 and 64240. After we will calculate the factors of 64228 and 64240 and find the biggest common factor number .

Step-1: Prime Factorization of 64228

Prime factors of 64228 are 2, 16057. Prime factorization of 64228 in exponential form is:

64228 = 2² × 16057¹

Step-2: Prime Factorization of 64240

Prime factors of 64240 are 2, 5, 11, 73. Prime factorization of 64240 in exponential form is:

64240 = 2⁴ × 5¹ × 11¹ × 73¹

Step-3: Factors of 64228

List of positive integer factors of 64228 that divides 64228 without a remainder.

1, 2, 4, 16057, 32114

Step-4: Factors of 64240

List of positive integer factors of 64240 that divides 64228 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 73, 80, 88, 110, 146, 176, 220, 292, 365, 440, 584, 730, 803, 880, 1168, 1460, 1606, 2920, 3212, 4015, 5840, 6424, 8030, 12848, 16060, 32120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64228 and 64240. The biggest common factor number is the GCF number.
So the greatest common factor 64228 and 64240 is 4.

Also check out the Least Common Multiple of 64228 and 64240