What is the Greatest Common Factor of 73541 and 73550?

Greatest common factor (GCF) of 73541 and 73550 is 1.

GCF(73541,73550) = 1

We will now calculate the prime factors of 73541 and 73550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73541 and 73550.

How to find the GCF of 73541 and 73550?

We will first find the prime factorization of 73541 and 73550. After we will calculate the factors of 73541 and 73550 and find the biggest common factor number .

Step-1: Prime Factorization of 73541

Prime factors of 73541 are 13, 5657. Prime factorization of 73541 in exponential form is:

73541 = 13¹ × 5657¹

Step-2: Prime Factorization of 73550

Prime factors of 73550 are 2, 5, 1471. Prime factorization of 73550 in exponential form is:

73550 = 2¹ × 5² × 1471¹

Step-3: Factors of 73541

List of positive integer factors of 73541 that divides 73541 without a remainder.

1, 13, 5657

Step-4: Factors of 73550

List of positive integer factors of 73550 that divides 73541 without a remainder.

1, 2, 5, 10, 25, 50, 1471, 2942, 7355, 14710, 36775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73541 and 73550. The biggest common factor number is the GCF number.
So the greatest common factor 73541 and 73550 is 1.

Also check out the Least Common Multiple of 73541 and 73550