What is the Greatest Common Factor of 59814 and 59820?

Greatest common factor (GCF) of 59814 and 59820 is 6.

GCF(59814,59820) = 6

We will now calculate the prime factors of 59814 and 59820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59814 and 59820.

How to find the GCF of 59814 and 59820?

We will first find the prime factorization of 59814 and 59820. After we will calculate the factors of 59814 and 59820 and find the biggest common factor number .

Step-1: Prime Factorization of 59814

Prime factors of 59814 are 2, 3, 3323. Prime factorization of 59814 in exponential form is:

59814 = 2¹ × 3² × 3323¹

Step-2: Prime Factorization of 59820

Prime factors of 59820 are 2, 3, 5, 997. Prime factorization of 59820 in exponential form is:

59820 = 2² × 3¹ × 5¹ × 997¹

Step-3: Factors of 59814

List of positive integer factors of 59814 that divides 59814 without a remainder.

1, 2, 3, 6, 9, 18, 3323, 6646, 9969, 19938, 29907

Step-4: Factors of 59820

List of positive integer factors of 59820 that divides 59814 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 997, 1994, 2991, 3988, 4985, 5982, 9970, 11964, 14955, 19940, 29910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59814 and 59820. The biggest common factor number is the GCF number.
So the greatest common factor 59814 and 59820 is 6.

Also check out the Least Common Multiple of 59814 and 59820