What is the Greatest Common Factor of 53417 and 53424?

Greatest common factor (GCF) of 53417 and 53424 is 7.

GCF(53417,53424) = 7

We will now calculate the prime factors of 53417 and 53424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53417 and 53424.

How to find the GCF of 53417 and 53424?

We will first find the prime factorization of 53417 and 53424. After we will calculate the factors of 53417 and 53424 and find the biggest common factor number .

Step-1: Prime Factorization of 53417

Prime factors of 53417 are 7, 13, 587. Prime factorization of 53417 in exponential form is:

53417 = 7¹ × 13¹ × 587¹

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 53417

List of positive integer factors of 53417 that divides 53417 without a remainder.

1, 7, 13, 91, 587, 4109, 7631

Step-4: Factors of 53424

List of positive integer factors of 53424 that divides 53417 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 53417 and 53424. The biggest common factor number is the GCF number.
So the greatest common factor 53417 and 53424 is 7.

Also check out the Least Common Multiple of 53417 and 53424