What is the Greatest Common Factor of 43991 and 43995?

Greatest common factor (GCF) of 43991 and 43995 is 1.

GCF(43991,43995) = 1

We will now calculate the prime factors of 43991 and 43995, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43991 and 43995.

How to find the GCF of 43991 and 43995?

We will first find the prime factorization of 43991 and 43995. After we will calculate the factors of 43991 and 43995 and find the biggest common factor number .

Step-1: Prime Factorization of 43991

Prime factors of 43991 are 43991. Prime factorization of 43991 in exponential form is:

43991 = 43991¹

Step-2: Prime Factorization of 43995

Prime factors of 43995 are 3, 5, 7, 419. Prime factorization of 43995 in exponential form is:

43995 = 3¹ × 5¹ × 7¹ × 419¹

Step-3: Factors of 43991

List of positive integer factors of 43991 that divides 43991 without a remainder.

Step-4: Factors of 43995

List of positive integer factors of 43995 that divides 43991 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 419, 1257, 2095, 2933, 6285, 8799, 14665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43991 and 43995. The biggest common factor number is the GCF number.
So the greatest common factor 43991 and 43995 is 1.

Also check out the Least Common Multiple of 43991 and 43995