What is the Greatest Common Factor of 53284 and 53302?

Greatest common factor (GCF) of 53284 and 53302 is 2.

GCF(53284,53302) = 2

We will now calculate the prime factors of 53284 and 53302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53284 and 53302.

How to find the GCF of 53284 and 53302?

We will first find the prime factorization of 53284 and 53302. After we will calculate the factors of 53284 and 53302 and find the biggest common factor number .

Step-1: Prime Factorization of 53284

Prime factors of 53284 are 2, 7, 11, 173. Prime factorization of 53284 in exponential form is:

53284 = 2² × 7¹ × 11¹ × 173¹

Step-2: Prime Factorization of 53302

Prime factors of 53302 are 2, 29, 919. Prime factorization of 53302 in exponential form is:

53302 = 2¹ × 29¹ × 919¹

Step-3: Factors of 53284

List of positive integer factors of 53284 that divides 53284 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 173, 308, 346, 692, 1211, 1903, 2422, 3806, 4844, 7612, 13321, 26642

Step-4: Factors of 53302

List of positive integer factors of 53302 that divides 53284 without a remainder.

1, 2, 29, 58, 919, 1838, 26651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53284 and 53302. The biggest common factor number is the GCF number.
So the greatest common factor 53284 and 53302 is 2.

Also check out the Least Common Multiple of 53284 and 53302