What is the Greatest Common Factor of 53424 and 53438?

Greatest common factor (GCF) of 53424 and 53438 is 14.

GCF(53424,53438) = 14

We will now calculate the prime factors of 53424 and 53438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53424 and 53438.

How to find the GCF of 53424 and 53438?

We will first find the prime factorization of 53424 and 53438. After we will calculate the factors of 53424 and 53438 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 53438

Prime factors of 53438 are 2, 7, 11, 347. Prime factorization of 53438 in exponential form is:

53438 = 2¹ × 7¹ × 11¹ × 347¹

Step-3: Factors of 53424

List of positive integer factors of 53424 that divides 53424 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

Step-4: Factors of 53438

List of positive integer factors of 53438 that divides 53424 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 347, 694, 2429, 3817, 4858, 7634, 26719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53424 and 53438. The biggest common factor number is the GCF number.
So the greatest common factor 53424 and 53438 is 14.

Also check out the Least Common Multiple of 53424 and 53438