What is the Greatest Common Factor of 50372 and 50386?

Greatest common factor (GCF) of 50372 and 50386 is 14.

GCF(50372,50386) = 14

We will now calculate the prime factors of 50372 and 50386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50372 and 50386.

How to find the GCF of 50372 and 50386?

We will first find the prime factorization of 50372 and 50386. After we will calculate the factors of 50372 and 50386 and find the biggest common factor number .

Step-1: Prime Factorization of 50372

Prime factors of 50372 are 2, 7, 257. Prime factorization of 50372 in exponential form is:

50372 = 2² × 7² × 257¹

Step-2: Prime Factorization of 50386

Prime factors of 50386 are 2, 7, 59, 61. Prime factorization of 50386 in exponential form is:

50386 = 2¹ × 7¹ × 59¹ × 61¹

Step-3: Factors of 50372

List of positive integer factors of 50372 that divides 50372 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 257, 514, 1028, 1799, 3598, 7196, 12593, 25186

Step-4: Factors of 50386

List of positive integer factors of 50386 that divides 50372 without a remainder.

1, 2, 7, 14, 59, 61, 118, 122, 413, 427, 826, 854, 3599, 7198, 25193

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50372 and 50386. The biggest common factor number is the GCF number.
So the greatest common factor 50372 and 50386 is 14.

Also check out the Least Common Multiple of 50372 and 50386