What is the Greatest Common Factor of 43901 and 43916?

Greatest common factor (GCF) of 43901 and 43916 is 1.

GCF(43901,43916) = 1

We will now calculate the prime factors of 43901 and 43916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43901 and 43916.

How to find the GCF of 43901 and 43916?

We will first find the prime factorization of 43901 and 43916. After we will calculate the factors of 43901 and 43916 and find the biggest common factor number .

Step-1: Prime Factorization of 43901

Prime factors of 43901 are 11, 13, 307. Prime factorization of 43901 in exponential form is:

43901 = 11¹ × 13¹ × 307¹

Step-2: Prime Factorization of 43916

Prime factors of 43916 are 2, 10979. Prime factorization of 43916 in exponential form is:

43916 = 2² × 10979¹

Step-3: Factors of 43901

List of positive integer factors of 43901 that divides 43901 without a remainder.

1, 11, 13, 143, 307, 3377, 3991

Step-4: Factors of 43916

List of positive integer factors of 43916 that divides 43901 without a remainder.

1, 2, 4, 10979, 21958

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43901 and 43916. The biggest common factor number is the GCF number.
So the greatest common factor 43901 and 43916 is 1.

Also check out the Least Common Multiple of 43901 and 43916