What is the Greatest Common Factor of 39456 and 39465?

Greatest common factor (GCF) of 39456 and 39465 is 9.

GCF(39456,39465) = 9

We will now calculate the prime factors of 39456 and 39465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39456 and 39465.

How to find the GCF of 39456 and 39465?

We will first find the prime factorization of 39456 and 39465. After we will calculate the factors of 39456 and 39465 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 39465

Prime factors of 39465 are 3, 5, 877. Prime factorization of 39465 in exponential form is:

39465 = 3² × 5¹ × 877¹

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 39465

List of positive integer factors of 39465 that divides 39456 without a remainder.

1, 3, 5, 9, 15, 45, 877, 2631, 4385, 7893, 13155

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39456 and 39465. The biggest common factor number is the GCF number.
So the greatest common factor 39456 and 39465 is 9.

Also check out the Least Common Multiple of 39456 and 39465