What is the Greatest Common Factor of 53380 and 53399?

Greatest common factor (GCF) of 53380 and 53399 is 1.

GCF(53380,53399) = 1

We will now calculate the prime factors of 53380 and 53399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53380 and 53399.

How to find the GCF of 53380 and 53399?

We will first find the prime factorization of 53380 and 53399. After we will calculate the factors of 53380 and 53399 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 53399

Prime factors of 53399 are 67, 797. Prime factorization of 53399 in exponential form is:

53399 = 67¹ × 797¹

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 53399

List of positive integer factors of 53399 that divides 53380 without a remainder.

1, 67, 797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53380 and 53399. The biggest common factor number is the GCF number.
So the greatest common factor 53380 and 53399 is 1.

Also check out the Least Common Multiple of 53380 and 53399