What is the Greatest Common Factor of 22830 and 22840?

Greatest common factor (GCF) of 22830 and 22840 is 10.

GCF(22830,22840) = 10

We will now calculate the prime factors of 22830 and 22840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22830 and 22840.

How to find the GCF of 22830 and 22840?

We will first find the prime factorization of 22830 and 22840. After we will calculate the factors of 22830 and 22840 and find the biggest common factor number .

Step-1: Prime Factorization of 22830

Prime factors of 22830 are 2, 3, 5, 761. Prime factorization of 22830 in exponential form is:

22830 = 2¹ × 3¹ × 5¹ × 761¹

Step-2: Prime Factorization of 22840

Prime factors of 22840 are 2, 5, 571. Prime factorization of 22840 in exponential form is:

22840 = 2³ × 5¹ × 571¹

Step-3: Factors of 22830

List of positive integer factors of 22830 that divides 22830 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 761, 1522, 2283, 3805, 4566, 7610, 11415

Step-4: Factors of 22840

List of positive integer factors of 22840 that divides 22830 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 571, 1142, 2284, 2855, 4568, 5710, 11420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22830 and 22840. The biggest common factor number is the GCF number.
So the greatest common factor 22830 and 22840 is 10.

Also check out the Least Common Multiple of 22830 and 22840