What is the Greatest Common Factor of 39870 and 39880?

Greatest common factor (GCF) of 39870 and 39880 is 10.

GCF(39870,39880) = 10

We will now calculate the prime factors of 39870 and 39880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39870 and 39880.

How to find the GCF of 39870 and 39880?

We will first find the prime factorization of 39870 and 39880. After we will calculate the factors of 39870 and 39880 and find the biggest common factor number .

Step-1: Prime Factorization of 39870

Prime factors of 39870 are 2, 3, 5, 443. Prime factorization of 39870 in exponential form is:

39870 = 2¹ × 3² × 5¹ × 443¹

Step-2: Prime Factorization of 39880

Prime factors of 39880 are 2, 5, 997. Prime factorization of 39880 in exponential form is:

39880 = 2³ × 5¹ × 997¹

Step-3: Factors of 39870

List of positive integer factors of 39870 that divides 39870 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 443, 886, 1329, 2215, 2658, 3987, 4430, 6645, 7974, 13290, 19935

Step-4: Factors of 39880

List of positive integer factors of 39880 that divides 39870 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 997, 1994, 3988, 4985, 7976, 9970, 19940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39870 and 39880. The biggest common factor number is the GCF number.
So the greatest common factor 39870 and 39880 is 10.

Also check out the Least Common Multiple of 39870 and 39880