What is the Greatest Common Factor of 39028 and 39040?

Greatest common factor (GCF) of 39028 and 39040 is 4.

GCF(39028,39040) = 4

We will now calculate the prime factors of 39028 and 39040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39028 and 39040.

How to find the GCF of 39028 and 39040?

We will first find the prime factorization of 39028 and 39040. After we will calculate the factors of 39028 and 39040 and find the biggest common factor number .

Step-1: Prime Factorization of 39028

Prime factors of 39028 are 2, 11, 887. Prime factorization of 39028 in exponential form is:

39028 = 2² × 11¹ × 887¹

Step-2: 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-3: Factors of 39028

List of positive integer factors of 39028 that divides 39028 without a remainder.

1, 2, 4, 11, 22, 44, 887, 1774, 3548, 9757, 19514

Step-4: Factors of 39040

List of positive integer factors of 39040 that divides 39028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39028 and 39040. The biggest common factor number is the GCF number.
So the greatest common factor 39028 and 39040 is 4.

Also check out the Least Common Multiple of 39028 and 39040