What is the Greatest Common Factor of 53431 and 53448?

Greatest common factor (GCF) of 53431 and 53448 is 17.

GCF(53431,53448) = 17

We will now calculate the prime factors of 53431 and 53448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53431 and 53448.

How to find the GCF of 53431 and 53448?

We will first find the prime factorization of 53431 and 53448. After we will calculate the factors of 53431 and 53448 and find the biggest common factor number .

Step-1: Prime Factorization of 53431

Prime factors of 53431 are 7, 17, 449. Prime factorization of 53431 in exponential form is:

53431 = 7¹ × 17¹ × 449¹

Step-2: 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-3: Factors of 53431

List of positive integer factors of 53431 that divides 53431 without a remainder.

1, 7, 17, 119, 449, 3143, 7633

Step-4: Factors of 53448

List of positive integer factors of 53448 that divides 53431 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53431 and 53448. The biggest common factor number is the GCF number.
So the greatest common factor 53431 and 53448 is 17.

Also check out the Least Common Multiple of 53431 and 53448