What is the Greatest Common Factor of 10324 and 10336?

Greatest common factor (GCF) of 10324 and 10336 is 4.

GCF(10324,10336) = 4

We will now calculate the prime factors of 10324 and 10336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10324 and 10336.

How to find the GCF of 10324 and 10336?

We will first find the prime factorization of 10324 and 10336. After we will calculate the factors of 10324 and 10336 and find the biggest common factor number .

Step-1: Prime Factorization of 10324

Prime factors of 10324 are 2, 29, 89. Prime factorization of 10324 in exponential form is:

10324 = 2² × 29¹ × 89¹

Step-2: Prime Factorization of 10336

Prime factors of 10336 are 2, 17, 19. Prime factorization of 10336 in exponential form is:

10336 = 2⁵ × 17¹ × 19¹

Step-3: Factors of 10324

List of positive integer factors of 10324 that divides 10324 without a remainder.

1, 2, 4, 29, 58, 89, 116, 178, 356, 2581, 5162

Step-4: Factors of 10336

List of positive integer factors of 10336 that divides 10324 without a remainder.

1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1292, 2584, 5168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10324 and 10336. The biggest common factor number is the GCF number.
So the greatest common factor 10324 and 10336 is 4.

Also check out the Least Common Multiple of 10324 and 10336