What is the Greatest Common Factor of 53368 and 53382?

Greatest common factor (GCF) of 53368 and 53382 is 14.

GCF(53368,53382) = 14

We will now calculate the prime factors of 53368 and 53382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53368 and 53382.

How to find the GCF of 53368 and 53382?

We will first find the prime factorization of 53368 and 53382. After we will calculate the factors of 53368 and 53382 and find the biggest common factor number .

Step-1: Prime Factorization of 53368

Prime factors of 53368 are 2, 7, 953. Prime factorization of 53368 in exponential form is:

53368 = 2³ × 7¹ × 953¹

Step-2: 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-3: Factors of 53368

List of positive integer factors of 53368 that divides 53368 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 953, 1906, 3812, 6671, 7624, 13342, 26684

Step-4: Factors of 53382

List of positive integer factors of 53382 that divides 53368 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53368 and 53382. The biggest common factor number is the GCF number.
So the greatest common factor 53368 and 53382 is 14.

Also check out the Least Common Multiple of 53368 and 53382