What is the Greatest Common Factor of 62814 and 62824?

Greatest common factor (GCF) of 62814 and 62824 is 2.

GCF(62814,62824) = 2

We will now calculate the prime factors of 62814 and 62824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62814 and 62824.

How to find the GCF of 62814 and 62824?

We will first find the prime factorization of 62814 and 62824. After we will calculate the factors of 62814 and 62824 and find the biggest common factor number .

Step-1: Prime Factorization of 62814

Prime factors of 62814 are 2, 3, 19, 29. Prime factorization of 62814 in exponential form is:

62814 = 2¹ × 3¹ × 19² × 29¹

Step-2: Prime Factorization of 62824

Prime factors of 62824 are 2, 7853. Prime factorization of 62824 in exponential form is:

62824 = 2³ × 7853¹

Step-3: Factors of 62814

List of positive integer factors of 62814 that divides 62814 without a remainder.

1, 2, 3, 6, 19, 29, 38, 57, 58, 87, 114, 174, 361, 551, 722, 1083, 1102, 1653, 2166, 3306, 10469, 20938, 31407

Step-4: Factors of 62824

List of positive integer factors of 62824 that divides 62814 without a remainder.

1, 2, 4, 8, 7853, 15706, 31412

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62814 and 62824. The biggest common factor number is the GCF number.
So the greatest common factor 62814 and 62824 is 2.

Also check out the Least Common Multiple of 62814 and 62824