What is the Greatest Common Factor of 24090 and 24101?

Greatest common factor (GCF) of 24090 and 24101 is 11.

GCF(24090,24101) = 11

We will now calculate the prime factors of 24090 and 24101, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24090 and 24101.

How to find the GCF of 24090 and 24101?

We will first find the prime factorization of 24090 and 24101. After we will calculate the factors of 24090 and 24101 and find the biggest common factor number .

Step-1: Prime Factorization of 24090

Prime factors of 24090 are 2, 3, 5, 11, 73. Prime factorization of 24090 in exponential form is:

24090 = 2¹ × 3¹ × 5¹ × 11¹ × 73¹

Step-2: Prime Factorization of 24101

Prime factors of 24101 are 7, 11, 313. Prime factorization of 24101 in exponential form is:

24101 = 7¹ × 11¹ × 313¹

Step-3: Factors of 24090

List of positive integer factors of 24090 that divides 24090 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 73, 110, 146, 165, 219, 330, 365, 438, 730, 803, 1095, 1606, 2190, 2409, 4015, 4818, 8030, 12045

Step-4: Factors of 24101

List of positive integer factors of 24101 that divides 24090 without a remainder.

1, 7, 11, 77, 313, 2191, 3443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24090 and 24101. The biggest common factor number is the GCF number.
So the greatest common factor 24090 and 24101 is 11.

Also check out the Least Common Multiple of 24090 and 24101