What is the Greatest Common Factor of 43729 and 43736?

Greatest common factor (GCF) of 43729 and 43736 is 7.

GCF(43729,43736) = 7

We will now calculate the prime factors of 43729 and 43736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43729 and 43736.

How to find the GCF of 43729 and 43736?

We will first find the prime factorization of 43729 and 43736. After we will calculate the factors of 43729 and 43736 and find the biggest common factor number .

Step-1: Prime Factorization of 43729

Prime factors of 43729 are 7, 6247. Prime factorization of 43729 in exponential form is:

43729 = 7¹ × 6247¹

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 43729

List of positive integer factors of 43729 that divides 43729 without a remainder.

1, 7, 6247

Step-4: Factors of 43736

List of positive integer factors of 43736 that divides 43729 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 43729 and 43736. The biggest common factor number is the GCF number.
So the greatest common factor 43729 and 43736 is 7.

Also check out the Least Common Multiple of 43729 and 43736