What is the Greatest Common Factor of 43714 and 43722?

Greatest common factor (GCF) of 43714 and 43722 is 2.

GCF(43714,43722) = 2

We will now calculate the prime factors of 43714 and 43722, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43714 and 43722.

How to find the GCF of 43714 and 43722?

We will first find the prime factorization of 43714 and 43722. After we will calculate the factors of 43714 and 43722 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 43722

Prime factors of 43722 are 2, 3, 7, 347. Prime factorization of 43722 in exponential form is:

43722 = 2¹ × 3² × 7¹ × 347¹

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 43722

List of positive integer factors of 43722 that divides 43714 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 347, 694, 1041, 2082, 2429, 3123, 4858, 6246, 7287, 14574, 21861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43714 and 43722. The biggest common factor number is the GCF number.
So the greatest common factor 43714 and 43722 is 2.

Also check out the Least Common Multiple of 43714 and 43722