What is the Greatest Common Factor of 4753 and 4770?

Greatest common factor (GCF) of 4753 and 4770 is 1.

GCF(4753,4770) = 1

We will now calculate the prime factors of 4753 and 4770, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4753 and 4770.

How to find the GCF of 4753 and 4770?

We will first find the prime factorization of 4753 and 4770. After we will calculate the factors of 4753 and 4770 and find the biggest common factor number .

Step-1: Prime Factorization of 4753

Prime factors of 4753 are 7, 97. Prime factorization of 4753 in exponential form is:

4753 = 7² × 97¹

Step-2: Prime Factorization of 4770

Prime factors of 4770 are 2, 3, 5, 53. Prime factorization of 4770 in exponential form is:

4770 = 2¹ × 3² × 5¹ × 53¹

Step-3: Factors of 4753

List of positive integer factors of 4753 that divides 4753 without a remainder.

1, 7, 49, 97, 679

Step-4: Factors of 4770

List of positive integer factors of 4770 that divides 4753 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 53, 90, 106, 159, 265, 318, 477, 530, 795, 954, 1590, 2385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4753 and 4770. The biggest common factor number is the GCF number.
So the greatest common factor 4753 and 4770 is 1.

Also check out the Least Common Multiple of 4753 and 4770