What is the Greatest Common Factor of 43717 and 43736?

Greatest common factor (GCF) of 43717 and 43736 is 1.

GCF(43717,43736) = 1

We will now calculate the prime factors of 43717 and 43736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43717 and 43736.

How to find the GCF of 43717 and 43736?

We will first find the prime factorization of 43717 and 43736. After we will calculate the factors of 43717 and 43736 and find the biggest common factor number .

Step-1: Prime Factorization of 43717

Prime factors of 43717 are 43717. Prime factorization of 43717 in exponential form is:

43717 = 43717¹

Step-2: Prime Factorization of 43736

Prime factors of 43736 are 2, 7, 11, 71. Prime factorization of 43736 in exponential form is:

43736 = 2³ × 7¹ × 11¹ × 71¹

Step-3: Factors of 43717

List of positive integer factors of 43717 that divides 43717 without a remainder.

Step-4: Factors of 43736

List of positive integer factors of 43736 that divides 43717 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 71, 77, 88, 142, 154, 284, 308, 497, 568, 616, 781, 994, 1562, 1988, 3124, 3976, 5467, 6248, 10934, 21868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43717 and 43736. The biggest common factor number is the GCF number.
So the greatest common factor 43717 and 43736 is 1.

Also check out the Least Common Multiple of 43717 and 43736