What is the Greatest Common Factor of 4830 and 4840?

Greatest common factor (GCF) of 4830 and 4840 is 10.

GCF(4830,4840) = 10

We will now calculate the prime factors of 4830 and 4840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4830 and 4840.

How to find the GCF of 4830 and 4840?

We will first find the prime factorization of 4830 and 4840. After we will calculate the factors of 4830 and 4840 and find the biggest common factor number .

Step-1: Prime Factorization of 4830

Prime factors of 4830 are 2, 3, 5, 7, 23. Prime factorization of 4830 in exponential form is:

4830 = 2¹ × 3¹ × 5¹ × 7¹ × 23¹

Step-2: Prime Factorization of 4840

Prime factors of 4840 are 2, 5, 11. Prime factorization of 4840 in exponential form is:

4840 = 2³ × 5¹ × 11²

Step-3: Factors of 4830

List of positive integer factors of 4830 that divides 4830 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 805, 966, 1610, 2415

Step-4: Factors of 4840

List of positive integer factors of 4840 that divides 4830 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 121, 220, 242, 440, 484, 605, 968, 1210, 2420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4830 and 4840. The biggest common factor number is the GCF number.
So the greatest common factor 4830 and 4840 is 10.

Also check out the Least Common Multiple of 4830 and 4840