What is the Greatest Common Factor of 39456 and 39462?

Greatest common factor (GCF) of 39456 and 39462 is 6.

GCF(39456,39462) = 6

We will now calculate the prime factors of 39456 and 39462, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39456 and 39462.

How to find the GCF of 39456 and 39462?

We will first find the prime factorization of 39456 and 39462. After we will calculate the factors of 39456 and 39462 and find the biggest common factor number .

Step-1: Prime Factorization of 39456

Prime factors of 39456 are 2, 3, 137. Prime factorization of 39456 in exponential form is:

39456 = 2⁵ × 3² × 137¹

Step-2: Prime Factorization of 39462

Prime factors of 39462 are 2, 3, 6577. Prime factorization of 39462 in exponential form is:

39462 = 2¹ × 3¹ × 6577¹

Step-3: Factors of 39456

List of positive integer factors of 39456 that divides 39456 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 137, 144, 274, 288, 411, 548, 822, 1096, 1233, 1644, 2192, 2466, 3288, 4384, 4932, 6576, 9864, 13152, 19728

Step-4: Factors of 39462

List of positive integer factors of 39462 that divides 39456 without a remainder.

1, 2, 3, 6, 6577, 13154, 19731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39456 and 39462. The biggest common factor number is the GCF number.
So the greatest common factor 39456 and 39462 is 6.

Also check out the Least Common Multiple of 39456 and 39462