What is the Greatest Common Factor of 47760 and 47780?

Greatest common factor (GCF) of 47760 and 47780 is 20.

GCF(47760,47780) = 20

We will now calculate the prime factors of 47760 and 47780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47760 and 47780.

How to find the GCF of 47760 and 47780?

We will first find the prime factorization of 47760 and 47780. After we will calculate the factors of 47760 and 47780 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 47780

Prime factors of 47780 are 2, 5, 2389. Prime factorization of 47780 in exponential form is:

47780 = 2² × 5¹ × 2389¹

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 47780

List of positive integer factors of 47780 that divides 47760 without a remainder.

1, 2, 4, 5, 10, 20, 2389, 4778, 9556, 11945, 23890

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47760 and 47780. The biggest common factor number is the GCF number.
So the greatest common factor 47760 and 47780 is 20.

Also check out the Least Common Multiple of 47760 and 47780