What is the Greatest Common Factor of 24780 and 24797?

Greatest common factor (GCF) of 24780 and 24797 is 1.

GCF(24780,24797) = 1

We will now calculate the prime factors of 24780 and 24797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24780 and 24797.

How to find the GCF of 24780 and 24797?

We will first find the prime factorization of 24780 and 24797. After we will calculate the factors of 24780 and 24797 and find the biggest common factor number .

Step-1: Prime Factorization of 24780

Prime factors of 24780 are 2, 3, 5, 7, 59. Prime factorization of 24780 in exponential form is:

24780 = 2² × 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 24797

Prime factors of 24797 are 137, 181. Prime factorization of 24797 in exponential form is:

24797 = 137¹ × 181¹

Step-3: Factors of 24780

List of positive integer factors of 24780 that divides 24780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 59, 60, 70, 84, 105, 118, 140, 177, 210, 236, 295, 354, 413, 420, 590, 708, 826, 885, 1180, 1239, 1652, 1770, 2065, 2478, 3540, 4130, 4956, 6195, 8260, 12390

Step-4: Factors of 24797

List of positive integer factors of 24797 that divides 24780 without a remainder.

1, 137, 181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24780 and 24797. The biggest common factor number is the GCF number.
So the greatest common factor 24780 and 24797 is 1.

Also check out the Least Common Multiple of 24780 and 24797