What is the Greatest Common Factor of 53228 and 53248?

Greatest common factor (GCF) of 53228 and 53248 is 4.

GCF(53228,53248) = 4

We will now calculate the prime factors of 53228 and 53248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53228 and 53248.

How to find the GCF of 53228 and 53248?

We will first find the prime factorization of 53228 and 53248. After we will calculate the factors of 53228 and 53248 and find the biggest common factor number .

Step-1: Prime Factorization of 53228

Prime factors of 53228 are 2, 7, 1901. Prime factorization of 53228 in exponential form is:

53228 = 2² × 7¹ × 1901¹

Step-2: Prime Factorization of 53248

Prime factors of 53248 are 2, 13. Prime factorization of 53248 in exponential form is:

53248 = 2¹² × 13¹

Step-3: Factors of 53228

List of positive integer factors of 53228 that divides 53228 without a remainder.

1, 2, 4, 7, 14, 28, 1901, 3802, 7604, 13307, 26614

Step-4: Factors of 53248

List of positive integer factors of 53248 that divides 53228 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 4096, 6656, 13312, 26624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53228 and 53248. The biggest common factor number is the GCF number.
So the greatest common factor 53228 and 53248 is 4.

Also check out the Least Common Multiple of 53228 and 53248