What is the Greatest Common Factor of 4745 and 4765?

Greatest common factor (GCF) of 4745 and 4765 is 5.

GCF(4745,4765) = 5

We will now calculate the prime factors of 4745 and 4765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4745 and 4765.

How to find the GCF of 4745 and 4765?

We will first find the prime factorization of 4745 and 4765. After we will calculate the factors of 4745 and 4765 and find the biggest common factor number .

Step-1: Prime Factorization of 4745

Prime factors of 4745 are 5, 13, 73. Prime factorization of 4745 in exponential form is:

4745 = 5¹ × 13¹ × 73¹

Step-2: Prime Factorization of 4765

Prime factors of 4765 are 5, 953. Prime factorization of 4765 in exponential form is:

4765 = 5¹ × 953¹

Step-3: Factors of 4745

List of positive integer factors of 4745 that divides 4745 without a remainder.

1, 5, 13, 65, 73, 365, 949

Step-4: Factors of 4765

List of positive integer factors of 4765 that divides 4745 without a remainder.

1, 5, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4745 and 4765. The biggest common factor number is the GCF number.
So the greatest common factor 4745 and 4765 is 5.

Also check out the Least Common Multiple of 4745 and 4765