What is the Greatest Common Factor of 24120 and 24135?

Greatest common factor (GCF) of 24120 and 24135 is 15.

GCF(24120,24135) = 15

We will now calculate the prime factors of 24120 and 24135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24120 and 24135.

How to find the GCF of 24120 and 24135?

We will first find the prime factorization of 24120 and 24135. After we will calculate the factors of 24120 and 24135 and find the biggest common factor number .

Step-1: Prime Factorization of 24120

Prime factors of 24120 are 2, 3, 5, 67. Prime factorization of 24120 in exponential form is:

24120 = 2³ × 3² × 5¹ × 67¹

Step-2: Prime Factorization of 24135

Prime factors of 24135 are 3, 5, 1609. Prime factorization of 24135 in exponential form is:

24135 = 3¹ × 5¹ × 1609¹

Step-3: Factors of 24120

List of positive integer factors of 24120 that divides 24120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 67, 72, 90, 120, 134, 180, 201, 268, 335, 360, 402, 536, 603, 670, 804, 1005, 1206, 1340, 1608, 2010, 2412, 2680, 3015, 4020, 4824, 6030, 8040, 12060

Step-4: Factors of 24135

List of positive integer factors of 24135 that divides 24120 without a remainder.

1, 3, 5, 15, 1609, 4827, 8045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24120 and 24135. The biggest common factor number is the GCF number.
So the greatest common factor 24120 and 24135 is 15.

Also check out the Least Common Multiple of 24120 and 24135