What is the Greatest Common Factor of 64072 and 64078?

Greatest common factor (GCF) of 64072 and 64078 is 2.

GCF(64072,64078) = 2

We will now calculate the prime factors of 64072 and 64078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64072 and 64078.

How to find the GCF of 64072 and 64078?

We will first find the prime factorization of 64072 and 64078. After we will calculate the factors of 64072 and 64078 and find the biggest common factor number .

Step-1: Prime Factorization of 64072

Prime factors of 64072 are 2, 8009. Prime factorization of 64072 in exponential form is:

64072 = 2³ × 8009¹

Step-2: Prime Factorization of 64078

Prime factors of 64078 are 2, 7, 23, 199. Prime factorization of 64078 in exponential form is:

64078 = 2¹ × 7¹ × 23¹ × 199¹

Step-3: Factors of 64072

List of positive integer factors of 64072 that divides 64072 without a remainder.

1, 2, 4, 8, 8009, 16018, 32036

Step-4: Factors of 64078

List of positive integer factors of 64078 that divides 64072 without a remainder.

1, 2, 7, 14, 23, 46, 161, 199, 322, 398, 1393, 2786, 4577, 9154, 32039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64072 and 64078. The biggest common factor number is the GCF number.
So the greatest common factor 64072 and 64078 is 2.

Also check out the Least Common Multiple of 64072 and 64078