What is the Greatest Common Factor of 39040 and 39055?

Greatest common factor (GCF) of 39040 and 39055 is 5.

GCF(39040,39055) = 5

We will now calculate the prime factors of 39040 and 39055, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39040 and 39055.

How to find the GCF of 39040 and 39055?

We will first find the prime factorization of 39040 and 39055. After we will calculate the factors of 39040 and 39055 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 39055

Prime factors of 39055 are 5, 73, 107. Prime factorization of 39055 in exponential form is:

39055 = 5¹ × 73¹ × 107¹

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 39055

List of positive integer factors of 39055 that divides 39040 without a remainder.

1, 5, 73, 107, 365, 535, 7811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39040 and 39055. The biggest common factor number is the GCF number.
So the greatest common factor 39040 and 39055 is 5.

Also check out the Least Common Multiple of 39040 and 39055