What is the Greatest Common Factor of 59808 and 59824?

Greatest common factor (GCF) of 59808 and 59824 is 16.

GCF(59808,59824) = 16

We will now calculate the prime factors of 59808 and 59824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59808 and 59824.

How to find the GCF of 59808 and 59824?

We will first find the prime factorization of 59808 and 59824. After we will calculate the factors of 59808 and 59824 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 59824

Prime factors of 59824 are 2, 3739. Prime factorization of 59824 in exponential form is:

59824 = 2⁴ × 3739¹

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 59824

List of positive integer factors of 59824 that divides 59808 without a remainder.

1, 2, 4, 8, 16, 3739, 7478, 14956, 29912

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59808 and 59824. The biggest common factor number is the GCF number.
So the greatest common factor 59808 and 59824 is 16.

Also check out the Least Common Multiple of 59808 and 59824