What is the Greatest Common Factor of 43670 and 43688?

Greatest common factor (GCF) of 43670 and 43688 is 2.

GCF(43670,43688) = 2

We will now calculate the prime factors of 43670 and 43688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43670 and 43688.

How to find the GCF of 43670 and 43688?

We will first find the prime factorization of 43670 and 43688. After we will calculate the factors of 43670 and 43688 and find the biggest common factor number .

Step-1: Prime Factorization of 43670

Prime factors of 43670 are 2, 5, 11, 397. Prime factorization of 43670 in exponential form is:

43670 = 2¹ × 5¹ × 11¹ × 397¹

Step-2: Prime Factorization of 43688

Prime factors of 43688 are 2, 43, 127. Prime factorization of 43688 in exponential form is:

43688 = 2³ × 43¹ × 127¹

Step-3: Factors of 43670

List of positive integer factors of 43670 that divides 43670 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 397, 794, 1985, 3970, 4367, 8734, 21835

Step-4: Factors of 43688

List of positive integer factors of 43688 that divides 43670 without a remainder.

1, 2, 4, 8, 43, 86, 127, 172, 254, 344, 508, 1016, 5461, 10922, 21844

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43670 and 43688. The biggest common factor number is the GCF number.
So the greatest common factor 43670 and 43688 is 2.

Also check out the Least Common Multiple of 43670 and 43688