What is the Greatest Common Factor of 59356 and 59369?

Greatest common factor (GCF) of 59356 and 59369 is 1.

GCF(59356,59369) = 1

We will now calculate the prime factors of 59356 and 59369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59356 and 59369.

How to find the GCF of 59356 and 59369?

We will first find the prime factorization of 59356 and 59369. After we will calculate the factors of 59356 and 59369 and find the biggest common factor number .

Step-1: Prime Factorization of 59356

Prime factors of 59356 are 2, 11, 19, 71. Prime factorization of 59356 in exponential form is:

59356 = 2² × 11¹ × 19¹ × 71¹

Step-2: Prime Factorization of 59369

Prime factors of 59369 are 59369. Prime factorization of 59369 in exponential form is:

59369 = 59369¹

Step-3: Factors of 59356

List of positive integer factors of 59356 that divides 59356 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 71, 76, 142, 209, 284, 418, 781, 836, 1349, 1562, 2698, 3124, 5396, 14839, 29678

Step-4: Factors of 59369

List of positive integer factors of 59369 that divides 59356 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59356 and 59369. The biggest common factor number is the GCF number.
So the greatest common factor 59356 and 59369 is 1.

Also check out the Least Common Multiple of 59356 and 59369