What is the Greatest Common Factor of 39970 and 39990?

Greatest common factor (GCF) of 39970 and 39990 is 10.

GCF(39970,39990) = 10

We will now calculate the prime factors of 39970 and 39990, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39970 and 39990.

How to find the GCF of 39970 and 39990?

We will first find the prime factorization of 39970 and 39990. After we will calculate the factors of 39970 and 39990 and find the biggest common factor number .

Step-1: Prime Factorization of 39970

Prime factors of 39970 are 2, 5, 7, 571. Prime factorization of 39970 in exponential form is:

39970 = 2¹ × 5¹ × 7¹ × 571¹

Step-2: Prime Factorization of 39990

Prime factors of 39990 are 2, 3, 5, 31, 43. Prime factorization of 39990 in exponential form is:

39990 = 2¹ × 3¹ × 5¹ × 31¹ × 43¹

Step-3: Factors of 39970

List of positive integer factors of 39970 that divides 39970 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 571, 1142, 2855, 3997, 5710, 7994, 19985

Step-4: Factors of 39990

List of positive integer factors of 39990 that divides 39970 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 43, 62, 86, 93, 129, 155, 186, 215, 258, 310, 430, 465, 645, 930, 1290, 1333, 2666, 3999, 6665, 7998, 13330, 19995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39970 and 39990. The biggest common factor number is the GCF number.
So the greatest common factor 39970 and 39990 is 10.

Also check out the Least Common Multiple of 39970 and 39990