What is the Greatest Common Factor of 53409 and 53428?

Greatest common factor (GCF) of 53409 and 53428 is 19.

GCF(53409,53428) = 19

We will now calculate the prime factors of 53409 and 53428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53409 and 53428.

How to find the GCF of 53409 and 53428?

We will first find the prime factorization of 53409 and 53428. After we will calculate the factors of 53409 and 53428 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 53428

Prime factors of 53428 are 2, 19, 37. Prime factorization of 53428 in exponential form is:

53428 = 2² × 19² × 37¹

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 53428

List of positive integer factors of 53428 that divides 53409 without a remainder.

1, 2, 4, 19, 37, 38, 74, 76, 148, 361, 703, 722, 1406, 1444, 2812, 13357, 26714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53409 and 53428. The biggest common factor number is the GCF number.
So the greatest common factor 53409 and 53428 is 19.

Also check out the Least Common Multiple of 53409 and 53428