What is the Greatest Common Factor of 53448 and 53465?

Greatest common factor (GCF) of 53448 and 53465 is 17.

GCF(53448,53465) = 17

We will now calculate the prime factors of 53448 and 53465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53448 and 53465.

How to find the GCF of 53448 and 53465?

We will first find the prime factorization of 53448 and 53465. After we will calculate the factors of 53448 and 53465 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 53465

Prime factors of 53465 are 5, 17, 37. Prime factorization of 53465 in exponential form is:

53465 = 5¹ × 17² × 37¹

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 53465

List of positive integer factors of 53465 that divides 53448 without a remainder.

1, 5, 17, 37, 85, 185, 289, 629, 1445, 3145, 10693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53448 and 53465. The biggest common factor number is the GCF number.
So the greatest common factor 53448 and 53465 is 17.

Also check out the Least Common Multiple of 53448 and 53465