What is the Greatest Common Factor of 60357 and 60369?

Greatest common factor (GCF) of 60357 and 60369 is 3.

GCF(60357,60369) = 3

We will now calculate the prime factors of 60357 and 60369, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60357 and 60369.

How to find the GCF of 60357 and 60369?

We will first find the prime factorization of 60357 and 60369. After we will calculate the factors of 60357 and 60369 and find the biggest common factor number .

Step-1: Prime Factorization of 60357

Prime factors of 60357 are 3, 11, 31, 59. Prime factorization of 60357 in exponential form is:

60357 = 3¹ × 11¹ × 31¹ × 59¹

Step-2: Prime Factorization of 60369

Prime factors of 60369 are 3, 20123. Prime factorization of 60369 in exponential form is:

60369 = 3¹ × 20123¹

Step-3: Factors of 60357

List of positive integer factors of 60357 that divides 60357 without a remainder.

1, 3, 11, 31, 33, 59, 93, 177, 341, 649, 1023, 1829, 1947, 5487, 20119

Step-4: Factors of 60369

List of positive integer factors of 60369 that divides 60357 without a remainder.

1, 3, 20123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60357 and 60369. The biggest common factor number is the GCF number.
So the greatest common factor 60357 and 60369 is 3.

Also check out the Least Common Multiple of 60357 and 60369