What is the Greatest Common Factor of 43736 and 43756?

Greatest common factor (GCF) of 43736 and 43756 is 4.

GCF(43736,43756) = 4

We will now calculate the prime factors of 43736 and 43756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43736 and 43756.

How to find the GCF of 43736 and 43756?

We will first find the prime factorization of 43736 and 43756. After we will calculate the factors of 43736 and 43756 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 43756

Prime factors of 43756 are 2, 10939. Prime factorization of 43756 in exponential form is:

43756 = 2² × 10939¹

Step-3: Factors of 43736

List of positive integer factors of 43736 that divides 43736 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

Step-4: Factors of 43756

List of positive integer factors of 43756 that divides 43736 without a remainder.

1, 2, 4, 10939, 21878

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43736 and 43756. The biggest common factor number is the GCF number.
So the greatest common factor 43736 and 43756 is 4.

Also check out the Least Common Multiple of 43736 and 43756