What is the Greatest Common Factor of 62824 and 62836?

Greatest common factor (GCF) of 62824 and 62836 is 4.

GCF(62824,62836) = 4

We will now calculate the prime factors of 62824 and 62836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62824 and 62836.

How to find the GCF of 62824 and 62836?

We will first find the prime factorization of 62824 and 62836. After we will calculate the factors of 62824 and 62836 and find the biggest common factor number .

Step-1: Prime Factorization of 62824

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

62824 = 2³ × 7853¹

Step-2: Prime Factorization of 62836

Prime factors of 62836 are 2, 23, 683. Prime factorization of 62836 in exponential form is:

62836 = 2² × 23¹ × 683¹

Step-3: Factors of 62824

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

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

Step-4: Factors of 62836

List of positive integer factors of 62836 that divides 62824 without a remainder.

1, 2, 4, 23, 46, 92, 683, 1366, 2732, 15709, 31418

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62824 and 62836. The biggest common factor number is the GCF number.
So the greatest common factor 62824 and 62836 is 4.

Also check out the Least Common Multiple of 62824 and 62836