What is the Greatest Common Factor of 10064 and 10082?

Greatest common factor (GCF) of 10064 and 10082 is 2.

GCF(10064,10082) = 2

We will now calculate the prime factors of 10064 and 10082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10064 and 10082.

How to find the GCF of 10064 and 10082?

We will first find the prime factorization of 10064 and 10082. After we will calculate the factors of 10064 and 10082 and find the biggest common factor number .

Step-1: Prime Factorization of 10064

Prime factors of 10064 are 2, 17, 37. Prime factorization of 10064 in exponential form is:

10064 = 2⁴ × 17¹ × 37¹

Step-2: Prime Factorization of 10082

Prime factors of 10082 are 2, 71. Prime factorization of 10082 in exponential form is:

10082 = 2¹ × 71²

Step-3: Factors of 10064

List of positive integer factors of 10064 that divides 10064 without a remainder.

1, 2, 4, 8, 16, 17, 34, 37, 68, 74, 136, 148, 272, 296, 592, 629, 1258, 2516, 5032

Step-4: Factors of 10082

List of positive integer factors of 10082 that divides 10064 without a remainder.

1, 2, 71, 142, 5041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10064 and 10082. The biggest common factor number is the GCF number.
So the greatest common factor 10064 and 10082 is 2.

Also check out the Least Common Multiple of 10064 and 10082