What is the Greatest Common Factor of 50357 and 50362?

Greatest common factor (GCF) of 50357 and 50362 is 1.

GCF(50357,50362) = 1

We will now calculate the prime factors of 50357 and 50362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50357 and 50362.

How to find the GCF of 50357 and 50362?

We will first find the prime factorization of 50357 and 50362. After we will calculate the factors of 50357 and 50362 and find the biggest common factor number .

Step-1: Prime Factorization of 50357

Prime factors of 50357 are 37, 1361. Prime factorization of 50357 in exponential form is:

50357 = 37¹ × 1361¹

Step-2: Prime Factorization of 50362

Prime factors of 50362 are 2, 13, 149. Prime factorization of 50362 in exponential form is:

50362 = 2¹ × 13² × 149¹

Step-3: Factors of 50357

List of positive integer factors of 50357 that divides 50357 without a remainder.

1, 37, 1361

Step-4: Factors of 50362

List of positive integer factors of 50362 that divides 50357 without a remainder.

1, 2, 13, 26, 149, 169, 298, 338, 1937, 3874, 25181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50357 and 50362. The biggest common factor number is the GCF number.
So the greatest common factor 50357 and 50362 is 1.

Also check out the Least Common Multiple of 50357 and 50362