What is the Greatest Common Factor of 53789 and 53808?

Greatest common factor (GCF) of 53789 and 53808 is 19.

GCF(53789,53808) = 19

We will now calculate the prime factors of 53789 and 53808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53789 and 53808.

How to find the GCF of 53789 and 53808?

We will first find the prime factorization of 53789 and 53808. After we will calculate the factors of 53789 and 53808 and find the biggest common factor number .

Step-1: Prime Factorization of 53789

Prime factors of 53789 are 19, 149. Prime factorization of 53789 in exponential form is:

53789 = 19² × 149¹

Step-2: Prime Factorization of 53808

Prime factors of 53808 are 2, 3, 19, 59. Prime factorization of 53808 in exponential form is:

53808 = 2⁴ × 3¹ × 19¹ × 59¹

Step-3: Factors of 53789

List of positive integer factors of 53789 that divides 53789 without a remainder.

1, 19, 149, 361, 2831

Step-4: Factors of 53808

List of positive integer factors of 53808 that divides 53789 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 59, 76, 114, 118, 152, 177, 228, 236, 304, 354, 456, 472, 708, 912, 944, 1121, 1416, 2242, 2832, 3363, 4484, 6726, 8968, 13452, 17936, 26904

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53789 and 53808. The biggest common factor number is the GCF number.
So the greatest common factor 53789 and 53808 is 19.

Also check out the Least Common Multiple of 53789 and 53808