What is the Greatest Common Factor of 64014 and 64032?

Greatest common factor (GCF) of 64014 and 64032 is 6.

GCF(64014,64032) = 6

We will now calculate the prime factors of 64014 and 64032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64014 and 64032.

How to find the GCF of 64014 and 64032?

We will first find the prime factorization of 64014 and 64032. After we will calculate the factors of 64014 and 64032 and find the biggest common factor number .

Step-1: Prime Factorization of 64014

Prime factors of 64014 are 2, 3, 47, 227. Prime factorization of 64014 in exponential form is:

64014 = 2¹ × 3¹ × 47¹ × 227¹

Step-2: Prime Factorization of 64032

Prime factors of 64032 are 2, 3, 23, 29. Prime factorization of 64032 in exponential form is:

64032 = 2⁵ × 3¹ × 23¹ × 29¹

Step-3: Factors of 64014

List of positive integer factors of 64014 that divides 64014 without a remainder.

1, 2, 3, 6, 47, 94, 141, 227, 282, 454, 681, 1362, 10669, 21338, 32007

Step-4: Factors of 64032

List of positive integer factors of 64032 that divides 64014 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 29, 32, 46, 48, 58, 69, 87, 92, 96, 116, 138, 174, 184, 232, 276, 348, 368, 464, 552, 667, 696, 736, 928, 1104, 1334, 1392, 2001, 2208, 2668, 2784, 4002, 5336, 8004, 10672, 16008, 21344, 32016

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64014 and 64032. The biggest common factor number is the GCF number.
So the greatest common factor 64014 and 64032 is 6.

Also check out the Least Common Multiple of 64014 and 64032