What is the Greatest Common Factor of 53380 and 53397?

Greatest common factor (GCF) of 53380 and 53397 is 17.

GCF(53380,53397) = 17

We will now calculate the prime factors of 53380 and 53397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53380 and 53397.

How to find the GCF of 53380 and 53397?

We will first find the prime factorization of 53380 and 53397. After we will calculate the factors of 53380 and 53397 and find the biggest common factor number .

Step-1: Prime Factorization of 53380

Prime factors of 53380 are 2, 5, 17, 157. Prime factorization of 53380 in exponential form is:

53380 = 2² × 5¹ × 17¹ × 157¹

Step-2: Prime Factorization of 53397

Prime factors of 53397 are 3, 17, 349. Prime factorization of 53397 in exponential form is:

53397 = 3² × 17¹ × 349¹

Step-3: Factors of 53380

List of positive integer factors of 53380 that divides 53380 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 157, 170, 314, 340, 628, 785, 1570, 2669, 3140, 5338, 10676, 13345, 26690

Step-4: Factors of 53397

List of positive integer factors of 53397 that divides 53380 without a remainder.

1, 3, 9, 17, 51, 153, 349, 1047, 3141, 5933, 17799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53380 and 53397. The biggest common factor number is the GCF number.
So the greatest common factor 53380 and 53397 is 17.

Also check out the Least Common Multiple of 53380 and 53397