What is the Greatest Common Factor of 47985 and 47994?

Greatest common factor (GCF) of 47985 and 47994 is 3.

GCF(47985,47994) = 3

We will now calculate the prime factors of 47985 and 47994, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47985 and 47994.

How to find the GCF of 47985 and 47994?

We will first find the prime factorization of 47985 and 47994. After we will calculate the factors of 47985 and 47994 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47994

Prime factors of 47994 are 2, 3, 19, 421. Prime factorization of 47994 in exponential form is:

47994 = 2¹ × 3¹ × 19¹ × 421¹

Step-3: Factors of 47985

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

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

Step-4: Factors of 47994

List of positive integer factors of 47994 that divides 47985 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 421, 842, 1263, 2526, 7999, 15998, 23997

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47985 and 47994. The biggest common factor number is the GCF number.
So the greatest common factor 47985 and 47994 is 3.

Also check out the Least Common Multiple of 47985 and 47994