What is the Greatest Common Factor of 53430 and 53448?

Greatest common factor (GCF) of 53430 and 53448 is 6.

GCF(53430,53448) = 6

We will now calculate the prime factors of 53430 and 53448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53430 and 53448.

How to find the GCF of 53430 and 53448?

We will first find the prime factorization of 53430 and 53448. After we will calculate the factors of 53430 and 53448 and find the biggest common factor number .

Step-1: Prime Factorization of 53430

Prime factors of 53430 are 2, 3, 5, 13, 137. Prime factorization of 53430 in exponential form is:

53430 = 2¹ × 3¹ × 5¹ × 13¹ × 137¹

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 53430

List of positive integer factors of 53430 that divides 53430 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 137, 195, 274, 390, 411, 685, 822, 1370, 1781, 2055, 3562, 4110, 5343, 8905, 10686, 17810, 26715

Step-4: Factors of 53448

List of positive integer factors of 53448 that divides 53430 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 53430 and 53448. The biggest common factor number is the GCF number.
So the greatest common factor 53430 and 53448 is 6.

Also check out the Least Common Multiple of 53430 and 53448