What is the Greatest Common Factor of 59808 and 59814?

Greatest common factor (GCF) of 59808 and 59814 is 6.

GCF(59808,59814) = 6

We will now calculate the prime factors of 59808 and 59814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59808 and 59814.

How to find the GCF of 59808 and 59814?

We will first find the prime factorization of 59808 and 59814. After we will calculate the factors of 59808 and 59814 and find the biggest common factor number .

Step-1: Prime Factorization of 59808

Prime factors of 59808 are 2, 3, 7, 89. Prime factorization of 59808 in exponential form is:

59808 = 2⁵ × 3¹ × 7¹ × 89¹

Step-2: 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-3: Factors of 59808

List of positive integer factors of 59808 that divides 59808 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 89, 96, 112, 168, 178, 224, 267, 336, 356, 534, 623, 672, 712, 1068, 1246, 1424, 1869, 2136, 2492, 2848, 3738, 4272, 4984, 7476, 8544, 9968, 14952, 19936, 29904

Step-4: Factors of 59814

List of positive integer factors of 59814 that divides 59808 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59808 and 59814. The biggest common factor number is the GCF number.
So the greatest common factor 59808 and 59814 is 6.

Also check out the Least Common Multiple of 59808 and 59814