What is the Greatest Common Factor of 43655 and 43670?

Greatest common factor (GCF) of 43655 and 43670 is 5.

GCF(43655,43670) = 5

We will now calculate the prime factors of 43655 and 43670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43655 and 43670.

How to find the GCF of 43655 and 43670?

We will first find the prime factorization of 43655 and 43670. After we will calculate the factors of 43655 and 43670 and find the biggest common factor number .

Step-1: Prime Factorization of 43655

Prime factors of 43655 are 5, 8731. Prime factorization of 43655 in exponential form is:

43655 = 5¹ × 8731¹

Step-2: 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-3: Factors of 43655

List of positive integer factors of 43655 that divides 43655 without a remainder.

1, 5, 8731

Step-4: Factors of 43670

List of positive integer factors of 43670 that divides 43655 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43655 and 43670. The biggest common factor number is the GCF number.
So the greatest common factor 43655 and 43670 is 5.

Also check out the Least Common Multiple of 43655 and 43670