What is the Greatest Common Factor of 43625 and 43642?

Greatest common factor (GCF) of 43625 and 43642 is 1.

GCF(43625,43642) = 1

We will now calculate the prime factors of 43625 and 43642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43625 and 43642.

How to find the GCF of 43625 and 43642?

We will first find the prime factorization of 43625 and 43642. After we will calculate the factors of 43625 and 43642 and find the biggest common factor number .

Step-1: Prime Factorization of 43625

Prime factors of 43625 are 5, 349. Prime factorization of 43625 in exponential form is:

43625 = 5³ × 349¹

Step-2: Prime Factorization of 43642

Prime factors of 43642 are 2, 21821. Prime factorization of 43642 in exponential form is:

43642 = 2¹ × 21821¹

Step-3: Factors of 43625

List of positive integer factors of 43625 that divides 43625 without a remainder.

1, 5, 25, 125, 349, 1745, 8725

Step-4: Factors of 43642

List of positive integer factors of 43642 that divides 43625 without a remainder.

1, 2, 21821

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43625 and 43642. The biggest common factor number is the GCF number.
So the greatest common factor 43625 and 43642 is 1.

Also check out the Least Common Multiple of 43625 and 43642