What is the Greatest Common Factor of 18496 and 18502?

Greatest common factor (GCF) of 18496 and 18502 is 2.

GCF(18496,18502) = 2

We will now calculate the prime factors of 18496 and 18502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18496 and 18502.

How to find the GCF of 18496 and 18502?

We will first find the prime factorization of 18496 and 18502. After we will calculate the factors of 18496 and 18502 and find the biggest common factor number .

Step-1: Prime Factorization of 18496

Prime factors of 18496 are 2, 17. Prime factorization of 18496 in exponential form is:

18496 = 2⁶ × 17²

Step-2: Prime Factorization of 18502

Prime factors of 18502 are 2, 11, 29. Prime factorization of 18502 in exponential form is:

18502 = 2¹ × 11¹ × 29²

Step-3: Factors of 18496

List of positive integer factors of 18496 that divides 18496 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 136, 272, 289, 544, 578, 1088, 1156, 2312, 4624, 9248

Step-4: Factors of 18502

List of positive integer factors of 18502 that divides 18496 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638, 841, 1682, 9251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18496 and 18502. The biggest common factor number is the GCF number.
So the greatest common factor 18496 and 18502 is 2.

Also check out the Least Common Multiple of 18496 and 18502