What is the Greatest Common Factor of 50760 and 50772?

Greatest common factor (GCF) of 50760 and 50772 is 12.

GCF(50760,50772) = 12

We will now calculate the prime factors of 50760 and 50772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50760 and 50772.

How to find the GCF of 50760 and 50772?

We will first find the prime factorization of 50760 and 50772. After we will calculate the factors of 50760 and 50772 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 50772

Prime factors of 50772 are 2, 3, 4231. Prime factorization of 50772 in exponential form is:

50772 = 2² × 3¹ × 4231¹

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 50772

List of positive integer factors of 50772 that divides 50760 without a remainder.

1, 2, 3, 4, 6, 12, 4231, 8462, 12693, 16924, 25386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50760 and 50772. The biggest common factor number is the GCF number.
So the greatest common factor 50760 and 50772 is 12.

Also check out the Least Common Multiple of 50760 and 50772