What is the Greatest Common Factor of 59148 and 59153?

Greatest common factor (GCF) of 59148 and 59153 is 1.

GCF(59148,59153) = 1

We will now calculate the prime factors of 59148 and 59153, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59148 and 59153.

How to find the GCF of 59148 and 59153?

We will first find the prime factorization of 59148 and 59153. After we will calculate the factors of 59148 and 59153 and find the biggest common factor number .

Step-1: Prime Factorization of 59148

Prime factors of 59148 are 2, 3, 31, 53. Prime factorization of 59148 in exponential form is:

59148 = 2² × 3² × 31¹ × 53¹

Step-2: Prime Factorization of 59153

Prime factors of 59153 are 149, 397. Prime factorization of 59153 in exponential form is:

59153 = 149¹ × 397¹

Step-3: Factors of 59148

List of positive integer factors of 59148 that divides 59148 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 53, 62, 93, 106, 124, 159, 186, 212, 279, 318, 372, 477, 558, 636, 954, 1116, 1643, 1908, 3286, 4929, 6572, 9858, 14787, 19716, 29574

Step-4: Factors of 59153

List of positive integer factors of 59153 that divides 59148 without a remainder.

1, 149, 397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59148 and 59153. The biggest common factor number is the GCF number.
So the greatest common factor 59148 and 59153 is 1.

Also check out the Least Common Multiple of 59148 and 59153