What is the Greatest Common Factor of 39040 and 39060?

Greatest common factor (GCF) of 39040 and 39060 is 20.

GCF(39040,39060) = 20

We will now calculate the prime factors of 39040 and 39060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39040 and 39060.

How to find the GCF of 39040 and 39060?

We will first find the prime factorization of 39040 and 39060. After we will calculate the factors of 39040 and 39060 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 39060

Prime factors of 39060 are 2, 3, 5, 7, 31. Prime factorization of 39060 in exponential form is:

39060 = 2² × 3² × 5¹ × 7¹ × 31¹

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 39060

List of positive integer factors of 39060 that divides 39040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 31, 35, 36, 42, 45, 60, 62, 63, 70, 84, 90, 93, 105, 124, 126, 140, 155, 180, 186, 210, 217, 252, 279, 310, 315, 372, 420, 434, 465, 558, 620, 630, 651, 868, 930, 1085, 1116, 1260, 1302, 1395, 1860, 1953, 2170, 2604, 2790, 3255, 3906, 4340, 5580, 6510, 7812, 9765, 13020, 19530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39040 and 39060. The biggest common factor number is the GCF number.
So the greatest common factor 39040 and 39060 is 20.

Also check out the Least Common Multiple of 39040 and 39060