What is the Greatest Common Factor of 47984 and 47995?

Greatest common factor (GCF) of 47984 and 47995 is 1.

GCF(47984,47995) = 1

We will now calculate the prime factors of 47984 and 47995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47984 and 47995.

How to find the GCF of 47984 and 47995?

We will first find the prime factorization of 47984 and 47995. After we will calculate the factors of 47984 and 47995 and find the biggest common factor number .

Step-1: Prime Factorization of 47984

Prime factors of 47984 are 2, 2999. Prime factorization of 47984 in exponential form is:

47984 = 2⁴ × 2999¹

Step-2: Prime Factorization of 47995

Prime factors of 47995 are 5, 29, 331. Prime factorization of 47995 in exponential form is:

47995 = 5¹ × 29¹ × 331¹

Step-3: Factors of 47984

List of positive integer factors of 47984 that divides 47984 without a remainder.

1, 2, 4, 8, 16, 2999, 5998, 11996, 23992

Step-4: Factors of 47995

List of positive integer factors of 47995 that divides 47984 without a remainder.

1, 5, 29, 145, 331, 1655, 9599

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47984 and 47995. The biggest common factor number is the GCF number.
So the greatest common factor 47984 and 47995 is 1.

Also check out the Least Common Multiple of 47984 and 47995