What is the Greatest Common Factor of 50760 and 50775?

Greatest common factor (GCF) of 50760 and 50775 is 15.

GCF(50760,50775) = 15

We will now calculate the prime factors of 50760 and 50775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50760 and 50775.

How to find the GCF of 50760 and 50775?

We will first find the prime factorization of 50760 and 50775. After we will calculate the factors of 50760 and 50775 and find the biggest common factor number .

Step-1: Prime Factorization of 50760

Prime factors of 50760 are 2, 3, 5, 47. Prime factorization of 50760 in exponential form is:

50760 = 2³ × 3³ × 5¹ × 47¹

Step-2: Prime Factorization of 50775

Prime factors of 50775 are 3, 5, 677. Prime factorization of 50775 in exponential form is:

50775 = 3¹ × 5² × 677¹

Step-3: Factors of 50760

List of positive integer factors of 50760 that divides 50760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 47, 54, 60, 72, 90, 94, 108, 120, 135, 141, 180, 188, 216, 235, 270, 282, 360, 376, 423, 470, 540, 564, 705, 846, 940, 1080, 1128, 1269, 1410, 1692, 1880, 2115, 2538, 2820, 3384, 4230, 5076, 5640, 6345, 8460, 10152, 12690, 16920, 25380

Step-4: Factors of 50775

List of positive integer factors of 50775 that divides 50760 without a remainder.

1, 3, 5, 15, 25, 75, 677, 2031, 3385, 10155, 16925

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50760 and 50775. The biggest common factor number is the GCF number.
So the greatest common factor 50760 and 50775 is 15.

Also check out the Least Common Multiple of 50760 and 50775