What is the Greatest Common Factor of 24643 and 24662?

Greatest common factor (GCF) of 24643 and 24662 is 19.

GCF(24643,24662) = 19

We will now calculate the prime factors of 24643 and 24662, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24643 and 24662.

How to find the GCF of 24643 and 24662?

We will first find the prime factorization of 24643 and 24662. After we will calculate the factors of 24643 and 24662 and find the biggest common factor number .

Step-1: Prime Factorization of 24643

Prime factors of 24643 are 19, 1297. Prime factorization of 24643 in exponential form is:

24643 = 19¹ × 1297¹

Step-2: Prime Factorization of 24662

Prime factors of 24662 are 2, 11, 19, 59. Prime factorization of 24662 in exponential form is:

24662 = 2¹ × 11¹ × 19¹ × 59¹

Step-3: Factors of 24643

List of positive integer factors of 24643 that divides 24643 without a remainder.

1, 19, 1297

Step-4: Factors of 24662

List of positive integer factors of 24662 that divides 24643 without a remainder.

1, 2, 11, 19, 22, 38, 59, 118, 209, 418, 649, 1121, 1298, 2242, 12331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24643 and 24662. The biggest common factor number is the GCF number.
So the greatest common factor 24643 and 24662 is 19.

Also check out the Least Common Multiple of 24643 and 24662