What is the Greatest Common Factor of 39060 and 39080?

Greatest common factor (GCF) of 39060 and 39080 is 20.

GCF(39060,39080) = 20

We will now calculate the prime factors of 39060 and 39080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39060 and 39080.

How to find the GCF of 39060 and 39080?

We will first find the prime factorization of 39060 and 39080. After we will calculate the factors of 39060 and 39080 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39080

Prime factors of 39080 are 2, 5, 977. Prime factorization of 39080 in exponential form is:

39080 = 2³ × 5¹ × 977¹

Step-3: Factors of 39060

List of positive integer factors of 39060 that divides 39060 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

Step-4: Factors of 39080

List of positive integer factors of 39080 that divides 39060 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 977, 1954, 3908, 4885, 7816, 9770, 19540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39060 and 39080. The biggest common factor number is the GCF number.
So the greatest common factor 39060 and 39080 is 20.

Also check out the Least Common Multiple of 39060 and 39080