What is the Greatest Common Factor of 53380 and 53385?

Greatest common factor (GCF) of 53380 and 53385 is 5.

GCF(53380,53385) = 5

We will now calculate the prime factors of 53380 and 53385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53380 and 53385.

How to find the GCF of 53380 and 53385?

We will first find the prime factorization of 53380 and 53385. After we will calculate the factors of 53380 and 53385 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 53385

Prime factors of 53385 are 3, 5, 3559. Prime factorization of 53385 in exponential form is:

53385 = 3¹ × 5¹ × 3559¹

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 53385

List of positive integer factors of 53385 that divides 53380 without a remainder.

1, 3, 5, 15, 3559, 10677, 17795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53380 and 53385. The biggest common factor number is the GCF number.
So the greatest common factor 53380 and 53385 is 5.

Also check out the Least Common Multiple of 53380 and 53385