What is the Greatest Common Factor of 50745 and 50762?

Greatest common factor (GCF) of 50745 and 50762 is 17.

GCF(50745,50762) = 17

We will now calculate the prime factors of 50745 and 50762, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50745 and 50762.

How to find the GCF of 50745 and 50762?

We will first find the prime factorization of 50745 and 50762. After we will calculate the factors of 50745 and 50762 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 50762

Prime factors of 50762 are 2, 17, 1493. Prime factorization of 50762 in exponential form is:

50762 = 2¹ × 17¹ × 1493¹

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 50762

List of positive integer factors of 50762 that divides 50745 without a remainder.

1, 2, 17, 34, 1493, 2986, 25381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50745 and 50762. The biggest common factor number is the GCF number.
So the greatest common factor 50745 and 50762 is 17.

Also check out the Least Common Multiple of 50745 and 50762