What is the Greatest Common Factor of 53318 and 53336?

Greatest common factor (GCF) of 53318 and 53336 is 2.

GCF(53318,53336) = 2

We will now calculate the prime factors of 53318 and 53336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53318 and 53336.

How to find the GCF of 53318 and 53336?

We will first find the prime factorization of 53318 and 53336. After we will calculate the factors of 53318 and 53336 and find the biggest common factor number .

Step-1: Prime Factorization of 53318

Prime factors of 53318 are 2, 53, 503. Prime factorization of 53318 in exponential form is:

53318 = 2¹ × 53¹ × 503¹

Step-2: Prime Factorization of 53336

Prime factors of 53336 are 2, 59, 113. Prime factorization of 53336 in exponential form is:

53336 = 2³ × 59¹ × 113¹

Step-3: Factors of 53318

List of positive integer factors of 53318 that divides 53318 without a remainder.

1, 2, 53, 106, 503, 1006, 26659

Step-4: Factors of 53336

List of positive integer factors of 53336 that divides 53318 without a remainder.

1, 2, 4, 8, 59, 113, 118, 226, 236, 452, 472, 904, 6667, 13334, 26668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53318 and 53336. The biggest common factor number is the GCF number.
So the greatest common factor 53318 and 53336 is 2.

Also check out the Least Common Multiple of 53318 and 53336