What is the Greatest Common Factor of 53409 and 53415?

Greatest common factor (GCF) of 53409 and 53415 is 3.

GCF(53409,53415) = 3

We will now calculate the prime factors of 53409 and 53415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53409 and 53415.

How to find the GCF of 53409 and 53415?

We will first find the prime factorization of 53409 and 53415. After we will calculate the factors of 53409 and 53415 and find the biggest common factor number .

Step-1: Prime Factorization of 53409

Prime factors of 53409 are 3, 19, 937. Prime factorization of 53409 in exponential form is:

53409 = 3¹ × 19¹ × 937¹

Step-2: Prime Factorization of 53415

Prime factors of 53415 are 3, 5, 1187. Prime factorization of 53415 in exponential form is:

53415 = 3² × 5¹ × 1187¹

Step-3: Factors of 53409

List of positive integer factors of 53409 that divides 53409 without a remainder.

1, 3, 19, 57, 937, 2811, 17803

Step-4: Factors of 53415

List of positive integer factors of 53415 that divides 53409 without a remainder.

1, 3, 5, 9, 15, 45, 1187, 3561, 5935, 10683, 17805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53409 and 53415. The biggest common factor number is the GCF number.
So the greatest common factor 53409 and 53415 is 3.

Also check out the Least Common Multiple of 53409 and 53415