What is the Greatest Common Factor of 83710 and 83714?

Greatest common factor (GCF) of 83710 and 83714 is 2.

GCF(83710,83714) = 2

We will now calculate the prime factors of 83710 and 83714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83710 and 83714.

How to find the GCF of 83710 and 83714?

We will first find the prime factorization of 83710 and 83714. After we will calculate the factors of 83710 and 83714 and find the biggest common factor number .

Step-1: Prime Factorization of 83710

Prime factors of 83710 are 2, 5, 11, 761. Prime factorization of 83710 in exponential form is:

83710 = 2¹ × 5¹ × 11¹ × 761¹

Step-2: Prime Factorization of 83714

Prime factors of 83714 are 2, 19, 2203. Prime factorization of 83714 in exponential form is:

83714 = 2¹ × 19¹ × 2203¹

Step-3: Factors of 83710

List of positive integer factors of 83710 that divides 83710 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 761, 1522, 3805, 7610, 8371, 16742, 41855

Step-4: Factors of 83714

List of positive integer factors of 83714 that divides 83710 without a remainder.

1, 2, 19, 38, 2203, 4406, 41857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83710 and 83714. The biggest common factor number is the GCF number.
So the greatest common factor 83710 and 83714 is 2.

Also check out the Least Common Multiple of 83710 and 83714