What is the Greatest Common Factor of 24614 and 24624?

Greatest common factor (GCF) of 24614 and 24624 is 2.

GCF(24614,24624) = 2

We will now calculate the prime factors of 24614 and 24624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24614 and 24624.

How to find the GCF of 24614 and 24624?

We will first find the prime factorization of 24614 and 24624. After we will calculate the factors of 24614 and 24624 and find the biggest common factor number .

Step-1: Prime Factorization of 24614

Prime factors of 24614 are 2, 31, 397. Prime factorization of 24614 in exponential form is:

24614 = 2¹ × 31¹ × 397¹

Step-2: Prime Factorization of 24624

Prime factors of 24624 are 2, 3, 19. Prime factorization of 24624 in exponential form is:

24624 = 2⁴ × 3⁴ × 19¹

Step-3: Factors of 24614

List of positive integer factors of 24614 that divides 24614 without a remainder.

1, 2, 31, 62, 397, 794, 12307

Step-4: Factors of 24624

List of positive integer factors of 24624 that divides 24614 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 27, 36, 38, 48, 54, 57, 72, 76, 81, 108, 114, 144, 152, 162, 171, 216, 228, 304, 324, 342, 432, 456, 513, 648, 684, 912, 1026, 1296, 1368, 1539, 2052, 2736, 3078, 4104, 6156, 8208, 12312

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24614 and 24624. The biggest common factor number is the GCF number.
So the greatest common factor 24614 and 24624 is 2.

Also check out the Least Common Multiple of 24614 and 24624