What is the Greatest Common Factor of 41639 and 41645?

Greatest common factor (GCF) of 41639 and 41645 is 1.

GCF(41639,41645) = 1

We will now calculate the prime factors of 41639 and 41645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41639 and 41645.

How to find the GCF of 41639 and 41645?

We will first find the prime factorization of 41639 and 41645. After we will calculate the factors of 41639 and 41645 and find the biggest common factor number .

Step-1: Prime Factorization of 41639

Prime factors of 41639 are 13, 3203. Prime factorization of 41639 in exponential form is:

41639 = 13¹ × 3203¹

Step-2: Prime Factorization of 41645

Prime factors of 41645 are 5, 8329. Prime factorization of 41645 in exponential form is:

41645 = 5¹ × 8329¹

Step-3: Factors of 41639

List of positive integer factors of 41639 that divides 41639 without a remainder.

1, 13, 3203

Step-4: Factors of 41645

List of positive integer factors of 41645 that divides 41639 without a remainder.

1, 5, 8329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41639 and 41645. The biggest common factor number is the GCF number.
So the greatest common factor 41639 and 41645 is 1.

Also check out the Least Common Multiple of 41639 and 41645