What is the Greatest Common Factor of 53365 and 53380?

Greatest common factor (GCF) of 53365 and 53380 is 5.

GCF(53365,53380) = 5

We will now calculate the prime factors of 53365 and 53380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53365 and 53380.

How to find the GCF of 53365 and 53380?

We will first find the prime factorization of 53365 and 53380. After we will calculate the factors of 53365 and 53380 and find the biggest common factor number .

Step-1: Prime Factorization of 53365

Prime factors of 53365 are 5, 13, 821. Prime factorization of 53365 in exponential form is:

53365 = 5¹ × 13¹ × 821¹

Step-2: 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-3: Factors of 53365

List of positive integer factors of 53365 that divides 53365 without a remainder.

1, 5, 13, 65, 821, 4105, 10673

Step-4: Factors of 53380

List of positive integer factors of 53380 that divides 53365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53365 and 53380. The biggest common factor number is the GCF number.
So the greatest common factor 53365 and 53380 is 5.

Also check out the Least Common Multiple of 53365 and 53380