What is the Greatest Common Factor of 53382 and 53386?

Greatest common factor (GCF) of 53382 and 53386 is 2.

GCF(53382,53386) = 2

We will now calculate the prime factors of 53382 and 53386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53382 and 53386.

How to find the GCF of 53382 and 53386?

We will first find the prime factorization of 53382 and 53386. After we will calculate the factors of 53382 and 53386 and find the biggest common factor number .

Step-1: Prime Factorization of 53382

Prime factors of 53382 are 2, 3, 7, 31, 41. Prime factorization of 53382 in exponential form is:

53382 = 2¹ × 3¹ × 7¹ × 31¹ × 41¹

Step-2: Prime Factorization of 53386

Prime factors of 53386 are 2, 26693. Prime factorization of 53386 in exponential form is:

53386 = 2¹ × 26693¹

Step-3: Factors of 53382

List of positive integer factors of 53382 that divides 53382 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 41, 42, 62, 82, 93, 123, 186, 217, 246, 287, 434, 574, 651, 861, 1271, 1302, 1722, 2542, 3813, 7626, 8897, 17794, 26691

Step-4: Factors of 53386

List of positive integer factors of 53386 that divides 53382 without a remainder.

1, 2, 26693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53382 and 53386. The biggest common factor number is the GCF number.
So the greatest common factor 53382 and 53386 is 2.

Also check out the Least Common Multiple of 53382 and 53386