What is the Greatest Common Factor of 59799 and 59808?

Greatest common factor (GCF) of 59799 and 59808 is 3.

GCF(59799,59808) = 3

We will now calculate the prime factors of 59799 and 59808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59799 and 59808.

How to find the GCF of 59799 and 59808?

We will first find the prime factorization of 59799 and 59808. After we will calculate the factors of 59799 and 59808 and find the biggest common factor number .

Step-1: Prime Factorization of 59799

Prime factors of 59799 are 3, 31, 643. Prime factorization of 59799 in exponential form is:

59799 = 3¹ × 31¹ × 643¹

Step-2: 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-3: Factors of 59799

List of positive integer factors of 59799 that divides 59799 without a remainder.

1, 3, 31, 93, 643, 1929, 19933

Step-4: Factors of 59808

List of positive integer factors of 59808 that divides 59799 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59799 and 59808. The biggest common factor number is the GCF number.
So the greatest common factor 59799 and 59808 is 3.

Also check out the Least Common Multiple of 59799 and 59808