What is the Greatest Common Factor of 50760 and 50768?

Greatest common factor (GCF) of 50760 and 50768 is 8.

GCF(50760,50768) = 8

We will now calculate the prime factors of 50760 and 50768, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50760 and 50768.

How to find the GCF of 50760 and 50768?

We will first find the prime factorization of 50760 and 50768. After we will calculate the factors of 50760 and 50768 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 50768

Prime factors of 50768 are 2, 19, 167. Prime factorization of 50768 in exponential form is:

50768 = 2⁴ × 19¹ × 167¹

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 50768

List of positive integer factors of 50768 that divides 50760 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 167, 304, 334, 668, 1336, 2672, 3173, 6346, 12692, 25384

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50760 and 50768. The biggest common factor number is the GCF number.
So the greatest common factor 50760 and 50768 is 8.

Also check out the Least Common Multiple of 50760 and 50768