What is the Greatest Common Factor of 47768 and 47780?

Greatest common factor (GCF) of 47768 and 47780 is 4.

GCF(47768,47780) = 4

We will now calculate the prime factors of 47768 and 47780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47768 and 47780.

How to find the GCF of 47768 and 47780?

We will first find the prime factorization of 47768 and 47780. After we will calculate the factors of 47768 and 47780 and find the biggest common factor number .

Step-1: Prime Factorization of 47768

Prime factors of 47768 are 2, 7, 853. Prime factorization of 47768 in exponential form is:

47768 = 2³ × 7¹ × 853¹

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 47768

List of positive integer factors of 47768 that divides 47768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 853, 1706, 3412, 5971, 6824, 11942, 23884

Step-4: Factors of 47780

List of positive integer factors of 47780 that divides 47768 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 47768 and 47780. The biggest common factor number is the GCF number.
So the greatest common factor 47768 and 47780 is 4.

Also check out the Least Common Multiple of 47768 and 47780