What is the Greatest Common Factor of 53285 and 53300?

Greatest common factor (GCF) of 53285 and 53300 is 5.

GCF(53285,53300) = 5

We will now calculate the prime factors of 53285 and 53300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53285 and 53300.

How to find the GCF of 53285 and 53300?

We will first find the prime factorization of 53285 and 53300. After we will calculate the factors of 53285 and 53300 and find the biggest common factor number .

Step-1: Prime Factorization of 53285

Prime factors of 53285 are 5, 10657. Prime factorization of 53285 in exponential form is:

53285 = 5¹ × 10657¹

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 53285

List of positive integer factors of 53285 that divides 53285 without a remainder.

1, 5, 10657

Step-4: Factors of 53300

List of positive integer factors of 53300 that divides 53285 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 53285 and 53300. The biggest common factor number is the GCF number.
So the greatest common factor 53285 and 53300 is 5.

Also check out the Least Common Multiple of 53285 and 53300