What is the Greatest Common Factor of 62424 and 62440?

Greatest common factor (GCF) of 62424 and 62440 is 8.

GCF(62424,62440) = 8

We will now calculate the prime factors of 62424 and 62440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62424 and 62440.

How to find the GCF of 62424 and 62440?

We will first find the prime factorization of 62424 and 62440. After we will calculate the factors of 62424 and 62440 and find the biggest common factor number .

Step-1: Prime Factorization of 62424

Prime factors of 62424 are 2, 3, 17. Prime factorization of 62424 in exponential form is:

62424 = 2³ × 3³ × 17²

Step-2: Prime Factorization of 62440

Prime factors of 62440 are 2, 5, 7, 223. Prime factorization of 62440 in exponential form is:

62440 = 2³ × 5¹ × 7¹ × 223¹

Step-3: Factors of 62424

List of positive integer factors of 62424 that divides 62424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 289, 306, 408, 459, 578, 612, 867, 918, 1156, 1224, 1734, 1836, 2312, 2601, 3468, 3672, 5202, 6936, 7803, 10404, 15606, 20808, 31212

Step-4: Factors of 62440

List of positive integer factors of 62440 that divides 62424 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 223, 280, 446, 892, 1115, 1561, 1784, 2230, 3122, 4460, 6244, 7805, 8920, 12488, 15610, 31220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62424 and 62440. The biggest common factor number is the GCF number.
So the greatest common factor 62424 and 62440 is 8.

Also check out the Least Common Multiple of 62424 and 62440