What is the Greatest Common Factor of 53296 and 53300?

Greatest common factor (GCF) of 53296 and 53300 is 4.

GCF(53296,53300) = 4

We will now calculate the prime factors of 53296 and 53300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53296 and 53300.

How to find the GCF of 53296 and 53300?

We will first find the prime factorization of 53296 and 53300. After we will calculate the factors of 53296 and 53300 and find the biggest common factor number .

Step-1: Prime Factorization of 53296

Prime factors of 53296 are 2, 3331. Prime factorization of 53296 in exponential form is:

53296 = 2⁴ × 3331¹

Step-2: Prime Factorization of 53300

Prime factors of 53300 are 2, 5, 13, 41. Prime factorization of 53300 in exponential form is:

53300 = 2² × 5² × 13¹ × 41¹

Step-3: Factors of 53296

List of positive integer factors of 53296 that divides 53296 without a remainder.

1, 2, 4, 8, 16, 3331, 6662, 13324, 26648

Step-4: Factors of 53300

List of positive integer factors of 53300 that divides 53296 without a remainder.

1, 2, 4, 5, 10, 13, 20, 25, 26, 41, 50, 52, 65, 82, 100, 130, 164, 205, 260, 325, 410, 533, 650, 820, 1025, 1066, 1300, 2050, 2132, 2665, 4100, 5330, 10660, 13325, 26650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53296 and 53300. The biggest common factor number is the GCF number.
So the greatest common factor 53296 and 53300 is 4.

Also check out the Least Common Multiple of 53296 and 53300