What is the Greatest Common Factor of 39060 and 39070?

Greatest common factor (GCF) of 39060 and 39070 is 10.

GCF(39060,39070) = 10

We will now calculate the prime factors of 39060 and 39070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39060 and 39070.

How to find the GCF of 39060 and 39070?

We will first find the prime factorization of 39060 and 39070. After we will calculate the factors of 39060 and 39070 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 39070

Prime factors of 39070 are 2, 5, 3907. Prime factorization of 39070 in exponential form is:

39070 = 2¹ × 5¹ × 3907¹

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 39070

List of positive integer factors of 39070 that divides 39060 without a remainder.

1, 2, 5, 10, 3907, 7814, 19535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39060 and 39070. The biggest common factor number is the GCF number.
So the greatest common factor 39060 and 39070 is 10.

Also check out the Least Common Multiple of 39060 and 39070