What is the Greatest Common Factor of 4725 and 4740?

Greatest common factor (GCF) of 4725 and 4740 is 15.

GCF(4725,4740) = 15

We will now calculate the prime factors of 4725 and 4740, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4725 and 4740.

How to find the GCF of 4725 and 4740?

We will first find the prime factorization of 4725 and 4740. After we will calculate the factors of 4725 and 4740 and find the biggest common factor number .

Step-1: Prime Factorization of 4725

Prime factors of 4725 are 3, 5, 7. Prime factorization of 4725 in exponential form is:

4725 = 3³ × 5² × 7¹

Step-2: Prime Factorization of 4740

Prime factors of 4740 are 2, 3, 5, 79. Prime factorization of 4740 in exponential form is:

4740 = 2² × 3¹ × 5¹ × 79¹

Step-3: Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575

Step-4: Factors of 4740

List of positive integer factors of 4740 that divides 4725 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 79, 158, 237, 316, 395, 474, 790, 948, 1185, 1580, 2370

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4725 and 4740. The biggest common factor number is the GCF number.
So the greatest common factor 4725 and 4740 is 15.

Also check out the Least Common Multiple of 4725 and 4740