What is the Greatest Common Factor of 43715 and 43729?

Greatest common factor (GCF) of 43715 and 43729 is 7.

GCF(43715,43729) = 7

We will now calculate the prime factors of 43715 and 43729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43715 and 43729.

How to find the GCF of 43715 and 43729?

We will first find the prime factorization of 43715 and 43729. After we will calculate the factors of 43715 and 43729 and find the biggest common factor number .

Step-1: Prime Factorization of 43715

Prime factors of 43715 are 5, 7, 1249. Prime factorization of 43715 in exponential form is:

43715 = 5¹ × 7¹ × 1249¹

Step-2: Prime Factorization of 43729

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

43729 = 7¹ × 6247¹

Step-3: Factors of 43715

List of positive integer factors of 43715 that divides 43715 without a remainder.

1, 5, 7, 35, 1249, 6245, 8743

Step-4: Factors of 43729

List of positive integer factors of 43729 that divides 43715 without a remainder.

1, 7, 6247

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43715 and 43729. The biggest common factor number is the GCF number.
So the greatest common factor 43715 and 43729 is 7.

Also check out the Least Common Multiple of 43715 and 43729