What is the Greatest Common Factor of 50745 and 50753?

Greatest common factor (GCF) of 50745 and 50753 is 1.

GCF(50745,50753) = 1

We will now calculate the prime factors of 50745 and 50753, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50745 and 50753.

How to find the GCF of 50745 and 50753?

We will first find the prime factorization of 50745 and 50753. After we will calculate the factors of 50745 and 50753 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50753

Prime factors of 50753 are 50753. Prime factorization of 50753 in exponential form is:

50753 = 50753¹

Step-3: Factors of 50745

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

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

Step-4: Factors of 50753

List of positive integer factors of 50753 that divides 50745 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50745 and 50753. The biggest common factor number is the GCF number.
So the greatest common factor 50745 and 50753 is 1.

Also check out the Least Common Multiple of 50745 and 50753