What is the Greatest Common Factor of 43702 and 43714?

Greatest common factor (GCF) of 43702 and 43714 is 2.

GCF(43702,43714) = 2

We will now calculate the prime factors of 43702 and 43714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43702 and 43714.

How to find the GCF of 43702 and 43714?

We will first find the prime factorization of 43702 and 43714. After we will calculate the factors of 43702 and 43714 and find the biggest common factor number .

Step-1: Prime Factorization of 43702

Prime factors of 43702 are 2, 21851. Prime factorization of 43702 in exponential form is:

43702 = 2¹ × 21851¹

Step-2: 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-3: Factors of 43702

List of positive integer factors of 43702 that divides 43702 without a remainder.

1, 2, 21851

Step-4: Factors of 43714

List of positive integer factors of 43714 that divides 43702 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43702 and 43714. The biggest common factor number is the GCF number.
So the greatest common factor 43702 and 43714 is 2.

Also check out the Least Common Multiple of 43702 and 43714