What is the Greatest Common Factor of 53424 and 53436?

Greatest common factor (GCF) of 53424 and 53436 is 12.

GCF(53424,53436) = 12

We will now calculate the prime factors of 53424 and 53436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53424 and 53436.

How to find the GCF of 53424 and 53436?

We will first find the prime factorization of 53424 and 53436. After we will calculate the factors of 53424 and 53436 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 53436

Prime factors of 53436 are 2, 3, 61, 73. Prime factorization of 53436 in exponential form is:

53436 = 2² × 3¹ × 61¹ × 73¹

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 53436

List of positive integer factors of 53436 that divides 53424 without a remainder.

1, 2, 3, 4, 6, 12, 61, 73, 122, 146, 183, 219, 244, 292, 366, 438, 732, 876, 4453, 8906, 13359, 17812, 26718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53424 and 53436. The biggest common factor number is the GCF number.
So the greatest common factor 53424 and 53436 is 12.

Also check out the Least Common Multiple of 53424 and 53436