What is the Greatest Common Factor of 62412 and 62424?

Greatest common factor (GCF) of 62412 and 62424 is 12.

GCF(62412,62424) = 12

We will now calculate the prime factors of 62412 and 62424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62412 and 62424.

How to find the GCF of 62412 and 62424?

We will first find the prime factorization of 62412 and 62424. After we will calculate the factors of 62412 and 62424 and find the biggest common factor number .

Step-1: Prime Factorization of 62412

Prime factors of 62412 are 2, 3, 7, 743. Prime factorization of 62412 in exponential form is:

62412 = 2² × 3¹ × 7¹ × 743¹

Step-2: 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-3: Factors of 62412

List of positive integer factors of 62412 that divides 62412 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 743, 1486, 2229, 2972, 4458, 5201, 8916, 10402, 15603, 20804, 31206

Step-4: Factors of 62424

List of positive integer factors of 62424 that divides 62412 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62412 and 62424. The biggest common factor number is the GCF number.
So the greatest common factor 62412 and 62424 is 12.

Also check out the Least Common Multiple of 62412 and 62424