What is the Greatest Common Factor of 53448 and 53457?

Greatest common factor (GCF) of 53448 and 53457 is 3.

GCF(53448,53457) = 3

We will now calculate the prime factors of 53448 and 53457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53448 and 53457.

How to find the GCF of 53448 and 53457?

We will first find the prime factorization of 53448 and 53457. After we will calculate the factors of 53448 and 53457 and find the biggest common factor number .

Step-1: Prime Factorization of 53448

Prime factors of 53448 are 2, 3, 17, 131. Prime factorization of 53448 in exponential form is:

53448 = 2³ × 3¹ × 17¹ × 131¹

Step-2: Prime Factorization of 53457

Prime factors of 53457 are 3, 103, 173. Prime factorization of 53457 in exponential form is:

53457 = 3¹ × 103¹ × 173¹

Step-3: Factors of 53448

List of positive integer factors of 53448 that divides 53448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 131, 136, 204, 262, 393, 408, 524, 786, 1048, 1572, 2227, 3144, 4454, 6681, 8908, 13362, 17816, 26724

Step-4: Factors of 53457

List of positive integer factors of 53457 that divides 53448 without a remainder.

1, 3, 103, 173, 309, 519, 17819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53448 and 53457. The biggest common factor number is the GCF number.
So the greatest common factor 53448 and 53457 is 3.

Also check out the Least Common Multiple of 53448 and 53457