What is the Greatest Common Factor of 59808 and 59827?

Greatest common factor (GCF) of 59808 and 59827 is 1.

GCF(59808,59827) = 1

We will now calculate the prime factors of 59808 and 59827, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59808 and 59827.

How to find the GCF of 59808 and 59827?

We will first find the prime factorization of 59808 and 59827. After we will calculate the factors of 59808 and 59827 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 59827

Prime factors of 59827 are 29, 2063. Prime factorization of 59827 in exponential form is:

59827 = 29¹ × 2063¹

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 59827

List of positive integer factors of 59827 that divides 59808 without a remainder.

1, 29, 2063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59808 and 59827. The biggest common factor number is the GCF number.
So the greatest common factor 59808 and 59827 is 1.

Also check out the Least Common Multiple of 59808 and 59827