What is the Greatest Common Factor of 4760 and 4775?

Greatest common factor (GCF) of 4760 and 4775 is 5.

GCF(4760,4775) = 5

We will now calculate the prime factors of 4760 and 4775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4760 and 4775.

How to find the GCF of 4760 and 4775?

We will first find the prime factorization of 4760 and 4775. After we will calculate the factors of 4760 and 4775 and find the biggest common factor number .

Step-1: Prime Factorization of 4760

Prime factors of 4760 are 2, 5, 7, 17. Prime factorization of 4760 in exponential form is:

4760 = 2³ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 4775

Prime factors of 4775 are 5, 191. Prime factorization of 4775 in exponential form is:

4775 = 5² × 191¹

Step-3: Factors of 4760

List of positive integer factors of 4760 that divides 4760 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 17, 20, 28, 34, 35, 40, 56, 68, 70, 85, 119, 136, 140, 170, 238, 280, 340, 476, 595, 680, 952, 1190, 2380

Step-4: Factors of 4775

List of positive integer factors of 4775 that divides 4760 without a remainder.

1, 5, 25, 191, 955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4760 and 4775. The biggest common factor number is the GCF number.
So the greatest common factor 4760 and 4775 is 5.

Also check out the Least Common Multiple of 4760 and 4775