What is the Greatest Common Factor of 4749 and 4760?

Greatest common factor (GCF) of 4749 and 4760 is 1.

GCF(4749,4760) = 1

We will now calculate the prime factors of 4749 and 4760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4749 and 4760.

How to find the GCF of 4749 and 4760?

We will first find the prime factorization of 4749 and 4760. After we will calculate the factors of 4749 and 4760 and find the biggest common factor number .

Step-1: Prime Factorization of 4749

Prime factors of 4749 are 3, 1583. Prime factorization of 4749 in exponential form is:

4749 = 3¹ × 1583¹

Step-2: 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-3: Factors of 4749

List of positive integer factors of 4749 that divides 4749 without a remainder.

1, 3, 1583

Step-4: Factors of 4760

List of positive integer factors of 4760 that divides 4749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4749 and 4760. The biggest common factor number is the GCF number.
So the greatest common factor 4749 and 4760 is 1.

Also check out the Least Common Multiple of 4749 and 4760