What is the Greatest Common Factor of 24120 and 24131?

Greatest common factor (GCF) of 24120 and 24131 is 1.

GCF(24120,24131) = 1

We will now calculate the prime factors of 24120 and 24131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24120 and 24131.

How to find the GCF of 24120 and 24131?

We will first find the prime factorization of 24120 and 24131. After we will calculate the factors of 24120 and 24131 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 24131

Prime factors of 24131 are 59, 409. Prime factorization of 24131 in exponential form is:

24131 = 59¹ × 409¹

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 24131

List of positive integer factors of 24131 that divides 24120 without a remainder.

1, 59, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24120 and 24131. The biggest common factor number is the GCF number.
So the greatest common factor 24120 and 24131 is 1.

Also check out the Least Common Multiple of 24120 and 24131