What is the Greatest Common Factor of 53424 and 53444?

Greatest common factor (GCF) of 53424 and 53444 is 4.

GCF(53424,53444) = 4

We will now calculate the prime factors of 53424 and 53444, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53424 and 53444.

How to find the GCF of 53424 and 53444?

We will first find the prime factorization of 53424 and 53444. After we will calculate the factors of 53424 and 53444 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 53444

Prime factors of 53444 are 2, 31, 431. Prime factorization of 53444 in exponential form is:

53444 = 2² × 31¹ × 431¹

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 53444

List of positive integer factors of 53444 that divides 53424 without a remainder.

1, 2, 4, 31, 62, 124, 431, 862, 1724, 13361, 26722

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53424 and 53444. The biggest common factor number is the GCF number.
So the greatest common factor 53424 and 53444 is 4.

Also check out the Least Common Multiple of 53424 and 53444