What is the Greatest Common Factor of 59808 and 59821?

Greatest common factor (GCF) of 59808 and 59821 is 1.

GCF(59808,59821) = 1

We will now calculate the prime factors of 59808 and 59821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59808 and 59821.

How to find the GCF of 59808 and 59821?

We will first find the prime factorization of 59808 and 59821. After we will calculate the factors of 59808 and 59821 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 59821

Prime factors of 59821 are 163, 367. Prime factorization of 59821 in exponential form is:

59821 = 163¹ × 367¹

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 59821

List of positive integer factors of 59821 that divides 59808 without a remainder.

1, 163, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59808 and 59821. The biggest common factor number is the GCF number.
So the greatest common factor 59808 and 59821 is 1.

Also check out the Least Common Multiple of 59808 and 59821