What is the Greatest Common Factor of 50735 and 50745?

Greatest common factor (GCF) of 50735 and 50745 is 5.

GCF(50735,50745) = 5

We will now calculate the prime factors of 50735 and 50745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50735 and 50745.

How to find the GCF of 50735 and 50745?

We will first find the prime factorization of 50735 and 50745. After we will calculate the factors of 50735 and 50745 and find the biggest common factor number .

Step-1: Prime Factorization of 50735

Prime factors of 50735 are 5, 73, 139. Prime factorization of 50735 in exponential form is:

50735 = 5¹ × 73¹ × 139¹

Step-2: Prime Factorization of 50745

Prime factors of 50745 are 3, 5, 17, 199. Prime factorization of 50745 in exponential form is:

50745 = 3¹ × 5¹ × 17¹ × 199¹

Step-3: Factors of 50735

List of positive integer factors of 50735 that divides 50735 without a remainder.

1, 5, 73, 139, 365, 695, 10147

Step-4: Factors of 50745

List of positive integer factors of 50745 that divides 50735 without a remainder.

1, 3, 5, 15, 17, 51, 85, 199, 255, 597, 995, 2985, 3383, 10149, 16915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50735 and 50745. The biggest common factor number is the GCF number.
So the greatest common factor 50735 and 50745 is 5.

Also check out the Least Common Multiple of 50735 and 50745