What is the Greatest Common Factor of 24120 and 24139?

Greatest common factor (GCF) of 24120 and 24139 is 1.

GCF(24120,24139) = 1

We will now calculate the prime factors of 24120 and 24139, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24120 and 24139.

How to find the GCF of 24120 and 24139?

We will first find the prime factorization of 24120 and 24139. After we will calculate the factors of 24120 and 24139 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 24139

Prime factors of 24139 are 101, 239. Prime factorization of 24139 in exponential form is:

24139 = 101¹ × 239¹

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 24139

List of positive integer factors of 24139 that divides 24120 without a remainder.

1, 101, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24120 and 24139. The biggest common factor number is the GCF number.
So the greatest common factor 24120 and 24139 is 1.

Also check out the Least Common Multiple of 24120 and 24139