What is the Greatest Common Factor of 43696 and 43701?

Greatest common factor (GCF) of 43696 and 43701 is 1.

GCF(43696,43701) = 1

We will now calculate the prime factors of 43696 and 43701, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43696 and 43701.

How to find the GCF of 43696 and 43701?

We will first find the prime factorization of 43696 and 43701. After we will calculate the factors of 43696 and 43701 and find the biggest common factor number .

Step-1: Prime Factorization of 43696

Prime factors of 43696 are 2, 2731. Prime factorization of 43696 in exponential form is:

43696 = 2⁴ × 2731¹

Step-2: Prime Factorization of 43701

Prime factors of 43701 are 3, 7, 2081. Prime factorization of 43701 in exponential form is:

43701 = 3¹ × 7¹ × 2081¹

Step-3: Factors of 43696

List of positive integer factors of 43696 that divides 43696 without a remainder.

1, 2, 4, 8, 16, 2731, 5462, 10924, 21848

Step-4: Factors of 43701

List of positive integer factors of 43701 that divides 43696 without a remainder.

1, 3, 7, 21, 2081, 6243, 14567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43696 and 43701. The biggest common factor number is the GCF number.
So the greatest common factor 43696 and 43701 is 1.

Also check out the Least Common Multiple of 43696 and 43701