What is the Greatest Common Factor of 47970 and 47985?

Greatest common factor (GCF) of 47970 and 47985 is 15.

GCF(47970,47985) = 15

We will now calculate the prime factors of 47970 and 47985, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47970 and 47985.

How to find the GCF of 47970 and 47985?

We will first find the prime factorization of 47970 and 47985. After we will calculate the factors of 47970 and 47985 and find the biggest common factor number .

Step-1: Prime Factorization of 47970

Prime factors of 47970 are 2, 3, 5, 13, 41. Prime factorization of 47970 in exponential form is:

47970 = 2¹ × 3² × 5¹ × 13¹ × 41¹

Step-2: Prime Factorization of 47985

Prime factors of 47985 are 3, 5, 7, 457. Prime factorization of 47985 in exponential form is:

47985 = 3¹ × 5¹ × 7¹ × 457¹

Step-3: Factors of 47970

List of positive integer factors of 47970 that divides 47970 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 41, 45, 65, 78, 82, 90, 117, 123, 130, 195, 205, 234, 246, 369, 390, 410, 533, 585, 615, 738, 1066, 1170, 1230, 1599, 1845, 2665, 3198, 3690, 4797, 5330, 7995, 9594, 15990, 23985

Step-4: Factors of 47985

List of positive integer factors of 47985 that divides 47970 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 457, 1371, 2285, 3199, 6855, 9597, 15995

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47970 and 47985. The biggest common factor number is the GCF number.
So the greatest common factor 47970 and 47985 is 15.

Also check out the Least Common Multiple of 47970 and 47985