What is the Greatest Common Factor of 47780 and 47795?

Greatest common factor (GCF) of 47780 and 47795 is 5.

GCF(47780,47795) = 5

We will now calculate the prime factors of 47780 and 47795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47780 and 47795.

How to find the GCF of 47780 and 47795?

We will first find the prime factorization of 47780 and 47795. After we will calculate the factors of 47780 and 47795 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47795

Prime factors of 47795 are 5, 11, 79. Prime factorization of 47795 in exponential form is:

47795 = 5¹ × 11² × 79¹

Step-3: Factors of 47780

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

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

Step-4: Factors of 47795

List of positive integer factors of 47795 that divides 47780 without a remainder.

1, 5, 11, 55, 79, 121, 395, 605, 869, 4345, 9559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47780 and 47795. The biggest common factor number is the GCF number.
So the greatest common factor 47780 and 47795 is 5.

Also check out the Least Common Multiple of 47780 and 47795