What is the Greatest Common Factor of 64028 and 64042?

Greatest common factor (GCF) of 64028 and 64042 is 2.

GCF(64028,64042) = 2

We will now calculate the prime factors of 64028 and 64042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64028 and 64042.

How to find the GCF of 64028 and 64042?

We will first find the prime factorization of 64028 and 64042. After we will calculate the factors of 64028 and 64042 and find the biggest common factor number .

Step-1: Prime Factorization of 64028

Prime factors of 64028 are 2, 16007. Prime factorization of 64028 in exponential form is:

64028 = 2² × 16007¹

Step-2: Prime Factorization of 64042

Prime factors of 64042 are 2, 11, 41, 71. Prime factorization of 64042 in exponential form is:

64042 = 2¹ × 11¹ × 41¹ × 71¹

Step-3: Factors of 64028

List of positive integer factors of 64028 that divides 64028 without a remainder.

1, 2, 4, 16007, 32014

Step-4: Factors of 64042

List of positive integer factors of 64042 that divides 64028 without a remainder.

1, 2, 11, 22, 41, 71, 82, 142, 451, 781, 902, 1562, 2911, 5822, 32021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64028 and 64042. The biggest common factor number is the GCF number.
So the greatest common factor 64028 and 64042 is 2.

Also check out the Least Common Multiple of 64028 and 64042