What is the Greatest Common Factor of 47760 and 47772?

Greatest common factor (GCF) of 47760 and 47772 is 12.

GCF(47760,47772) = 12

We will now calculate the prime factors of 47760 and 47772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47760 and 47772.

How to find the GCF of 47760 and 47772?

We will first find the prime factorization of 47760 and 47772. After we will calculate the factors of 47760 and 47772 and find the biggest common factor number .

Step-1: Prime Factorization of 47760

Prime factors of 47760 are 2, 3, 5, 199. Prime factorization of 47760 in exponential form is:

47760 = 2⁴ × 3¹ × 5¹ × 199¹

Step-2: Prime Factorization of 47772

Prime factors of 47772 are 2, 3, 1327. Prime factorization of 47772 in exponential form is:

47772 = 2² × 3² × 1327¹

Step-3: Factors of 47760

List of positive integer factors of 47760 that divides 47760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 199, 240, 398, 597, 796, 995, 1194, 1592, 1990, 2388, 2985, 3184, 3980, 4776, 5970, 7960, 9552, 11940, 15920, 23880

Step-4: Factors of 47772

List of positive integer factors of 47772 that divides 47760 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1327, 2654, 3981, 5308, 7962, 11943, 15924, 23886

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47760 and 47772. The biggest common factor number is the GCF number.
So the greatest common factor 47760 and 47772 is 12.

Also check out the Least Common Multiple of 47760 and 47772