What is the Greatest Common Factor of 24760 and 24780?

Greatest common factor (GCF) of 24760 and 24780 is 20.

GCF(24760,24780) = 20

We will now calculate the prime factors of 24760 and 24780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24760 and 24780.

How to find the GCF of 24760 and 24780?

We will first find the prime factorization of 24760 and 24780. After we will calculate the factors of 24760 and 24780 and find the biggest common factor number .

Step-1: Prime Factorization of 24760

Prime factors of 24760 are 2, 5, 619. Prime factorization of 24760 in exponential form is:

24760 = 2³ × 5¹ × 619¹

Step-2: 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-3: Factors of 24760

List of positive integer factors of 24760 that divides 24760 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 619, 1238, 2476, 3095, 4952, 6190, 12380

Step-4: Factors of 24780

List of positive integer factors of 24780 that divides 24760 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24760 and 24780. The biggest common factor number is the GCF number.
So the greatest common factor 24760 and 24780 is 20.

Also check out the Least Common Multiple of 24760 and 24780