What is the Greatest Common Factor of 50386 and 50400?

Greatest common factor (GCF) of 50386 and 50400 is 14.

GCF(50386,50400) = 14

We will now calculate the prime factors of 50386 and 50400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50386 and 50400.

How to find the GCF of 50386 and 50400?

We will first find the prime factorization of 50386 and 50400. After we will calculate the factors of 50386 and 50400 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50400

Prime factors of 50400 are 2, 3, 5, 7. Prime factorization of 50400 in exponential form is:

50400 = 2⁵ × 3² × 5² × 7¹

Step-3: Factors of 50386

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

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

Step-4: Factors of 50400

List of positive integer factors of 50400 that divides 50386 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 25, 28, 30, 32, 35, 36, 40, 42, 45, 48, 50, 56, 60, 63, 70, 72, 75, 80, 84, 90, 96, 100, 105, 112, 120, 126, 140, 144, 150, 160, 168, 175, 180, 200, 210, 224, 225, 240, 252, 280, 288, 300, 315, 336, 350, 360, 400, 420, 450, 480, 504, 525, 560, 600, 630, 672, 700, 720, 800, 840, 900, 1008, 1050, 1120, 1200, 1260, 1400, 1440, 1575, 1680, 1800, 2016, 2100, 2400, 2520, 2800, 3150, 3360, 3600, 4200, 5040, 5600, 6300, 7200, 8400, 10080, 12600, 16800, 25200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50386 and 50400. The biggest common factor number is the GCF number.
So the greatest common factor 50386 and 50400 is 14.

Also check out the Least Common Multiple of 50386 and 50400