What is the Greatest Common Factor of 24638 and 24648?

Greatest common factor (GCF) of 24638 and 24648 is 2.

GCF(24638,24648) = 2

We will now calculate the prime factors of 24638 and 24648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24638 and 24648.

How to find the GCF of 24638 and 24648?

We will first find the prime factorization of 24638 and 24648. After we will calculate the factors of 24638 and 24648 and find the biggest common factor number .

Step-1: Prime Factorization of 24638

Prime factors of 24638 are 2, 97, 127. Prime factorization of 24638 in exponential form is:

24638 = 2¹ × 97¹ × 127¹

Step-2: Prime Factorization of 24648

Prime factors of 24648 are 2, 3, 13, 79. Prime factorization of 24648 in exponential form is:

24648 = 2³ × 3¹ × 13¹ × 79¹

Step-3: Factors of 24638

List of positive integer factors of 24638 that divides 24638 without a remainder.

1, 2, 97, 127, 194, 254, 12319

Step-4: Factors of 24648

List of positive integer factors of 24648 that divides 24638 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 79, 104, 156, 158, 237, 312, 316, 474, 632, 948, 1027, 1896, 2054, 3081, 4108, 6162, 8216, 12324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24638 and 24648. The biggest common factor number is the GCF number.
So the greatest common factor 24638 and 24648 is 2.

Also check out the Least Common Multiple of 24638 and 24648