What is the Greatest Common Factor of 53428 and 53447?

Greatest common factor (GCF) of 53428 and 53447 is 19.

GCF(53428,53447) = 19

We will now calculate the prime factors of 53428 and 53447, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53428 and 53447.

How to find the GCF of 53428 and 53447?

We will first find the prime factorization of 53428 and 53447. After we will calculate the factors of 53428 and 53447 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53447

Prime factors of 53447 are 19, 29, 97. Prime factorization of 53447 in exponential form is:

53447 = 19¹ × 29¹ × 97¹

Step-3: Factors of 53428

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

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

Step-4: Factors of 53447

List of positive integer factors of 53447 that divides 53428 without a remainder.

1, 19, 29, 97, 551, 1843, 2813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53428 and 53447. The biggest common factor number is the GCF number.
So the greatest common factor 53428 and 53447 is 19.

Also check out the Least Common Multiple of 53428 and 53447