What is the Greatest Common Factor of 45643 and 45650?

Greatest common factor (GCF) of 45643 and 45650 is 1.

GCF(45643,45650) = 1

We will now calculate the prime factors of 45643 and 45650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45643 and 45650.

How to find the GCF of 45643 and 45650?

We will first find the prime factorization of 45643 and 45650. After we will calculate the factors of 45643 and 45650 and find the biggest common factor number .

Step-1: Prime Factorization of 45643

Prime factors of 45643 are 13, 3511. Prime factorization of 45643 in exponential form is:

45643 = 13¹ × 3511¹

Step-2: Prime Factorization of 45650

Prime factors of 45650 are 2, 5, 11, 83. Prime factorization of 45650 in exponential form is:

45650 = 2¹ × 5² × 11¹ × 83¹

Step-3: Factors of 45643

List of positive integer factors of 45643 that divides 45643 without a remainder.

1, 13, 3511

Step-4: Factors of 45650

List of positive integer factors of 45650 that divides 45643 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 83, 110, 166, 275, 415, 550, 830, 913, 1826, 2075, 4150, 4565, 9130, 22825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45643 and 45650. The biggest common factor number is the GCF number.
So the greatest common factor 45643 and 45650 is 1.

Also check out the Least Common Multiple of 45643 and 45650