What is the Greatest Common Factor of 53410 and 53424?

Greatest common factor (GCF) of 53410 and 53424 is 14.

GCF(53410,53424) = 14

We will now calculate the prime factors of 53410 and 53424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53410 and 53424.

How to find the GCF of 53410 and 53424?

We will first find the prime factorization of 53410 and 53424. After we will calculate the factors of 53410 and 53424 and find the biggest common factor number .

Step-1: Prime Factorization of 53410

Prime factors of 53410 are 2, 5, 7, 109. Prime factorization of 53410 in exponential form is:

53410 = 2¹ × 5¹ × 7² × 109¹

Step-2: Prime Factorization of 53424

Prime factors of 53424 are 2, 3, 7, 53. Prime factorization of 53424 in exponential form is:

53424 = 2⁴ × 3² × 7¹ × 53¹

Step-3: Factors of 53410

List of positive integer factors of 53410 that divides 53410 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 109, 218, 245, 490, 545, 763, 1090, 1526, 3815, 5341, 7630, 10682, 26705

Step-4: Factors of 53424

List of positive integer factors of 53424 that divides 53410 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 53, 56, 63, 72, 84, 106, 112, 126, 144, 159, 168, 212, 252, 318, 336, 371, 424, 477, 504, 636, 742, 848, 954, 1008, 1113, 1272, 1484, 1908, 2226, 2544, 2968, 3339, 3816, 4452, 5936, 6678, 7632, 8904, 13356, 17808, 26712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53410 and 53424. The biggest common factor number is the GCF number.
So the greatest common factor 53410 and 53424 is 14.

Also check out the Least Common Multiple of 53410 and 53424