What is the Greatest Common Factor of 43714 and 43725?

Greatest common factor (GCF) of 43714 and 43725 is 11.

GCF(43714,43725) = 11

We will now calculate the prime factors of 43714 and 43725, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43714 and 43725.

How to find the GCF of 43714 and 43725?

We will first find the prime factorization of 43714 and 43725. After we will calculate the factors of 43714 and 43725 and find the biggest common factor number .

Step-1: Prime Factorization of 43714

Prime factors of 43714 are 2, 11, 1987. Prime factorization of 43714 in exponential form is:

43714 = 2¹ × 11¹ × 1987¹

Step-2: Prime Factorization of 43725

Prime factors of 43725 are 3, 5, 11, 53. Prime factorization of 43725 in exponential form is:

43725 = 3¹ × 5² × 11¹ × 53¹

Step-3: Factors of 43714

List of positive integer factors of 43714 that divides 43714 without a remainder.

1, 2, 11, 22, 1987, 3974, 21857

Step-4: Factors of 43725

List of positive integer factors of 43725 that divides 43714 without a remainder.

1, 3, 5, 11, 15, 25, 33, 53, 55, 75, 159, 165, 265, 275, 583, 795, 825, 1325, 1749, 2915, 3975, 8745, 14575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43714 and 43725. The biggest common factor number is the GCF number.
So the greatest common factor 43714 and 43725 is 11.

Also check out the Least Common Multiple of 43714 and 43725