What is the Greatest Common Factor of 39040 and 39056?

Greatest common factor (GCF) of 39040 and 39056 is 16.

GCF(39040,39056) = 16

We will now calculate the prime factors of 39040 and 39056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39040 and 39056.

How to find the GCF of 39040 and 39056?

We will first find the prime factorization of 39040 and 39056. After we will calculate the factors of 39040 and 39056 and find the biggest common factor number .

Step-1: Prime Factorization of 39040

Prime factors of 39040 are 2, 5, 61. Prime factorization of 39040 in exponential form is:

39040 = 2⁷ × 5¹ × 61¹

Step-2: Prime Factorization of 39056

Prime factors of 39056 are 2, 2441. Prime factorization of 39056 in exponential form is:

39056 = 2⁴ × 2441¹

Step-3: Factors of 39040

List of positive integer factors of 39040 that divides 39040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160, 244, 305, 320, 488, 610, 640, 976, 1220, 1952, 2440, 3904, 4880, 7808, 9760, 19520

Step-4: Factors of 39056

List of positive integer factors of 39056 that divides 39040 without a remainder.

1, 2, 4, 8, 16, 2441, 4882, 9764, 19528

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39040 and 39056. The biggest common factor number is the GCF number.
So the greatest common factor 39040 and 39056 is 16.

Also check out the Least Common Multiple of 39040 and 39056