What is the Greatest Common Factor of 53300 and 53319?

Greatest common factor (GCF) of 53300 and 53319 is 1.

GCF(53300,53319) = 1

We will now calculate the prime factors of 53300 and 53319, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53300 and 53319.

How to find the GCF of 53300 and 53319?

We will first find the prime factorization of 53300 and 53319. After we will calculate the factors of 53300 and 53319 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53319

Prime factors of 53319 are 3, 7, 2539. Prime factorization of 53319 in exponential form is:

53319 = 3¹ × 7¹ × 2539¹

Step-3: Factors of 53300

List of positive integer factors of 53300 that divides 53300 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

Step-4: Factors of 53319

List of positive integer factors of 53319 that divides 53300 without a remainder.

1, 3, 7, 21, 2539, 7617, 17773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53300 and 53319. The biggest common factor number is the GCF number.
So the greatest common factor 53300 and 53319 is 1.

Also check out the Least Common Multiple of 53300 and 53319