What is the Greatest Common Factor of 42354 and 42361?

Greatest common factor (GCF) of 42354 and 42361 is 1.

GCF(42354,42361) = 1

We will now calculate the prime factors of 42354 and 42361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42354 and 42361.

How to find the GCF of 42354 and 42361?

We will first find the prime factorization of 42354 and 42361. After we will calculate the factors of 42354 and 42361 and find the biggest common factor number .

Step-1: Prime Factorization of 42354

Prime factors of 42354 are 2, 3, 13, 181. Prime factorization of 42354 in exponential form is:

42354 = 2¹ × 3² × 13¹ × 181¹

Step-2: Prime Factorization of 42361

Prime factors of 42361 are 11, 3851. Prime factorization of 42361 in exponential form is:

42361 = 11¹ × 3851¹

Step-3: Factors of 42354

List of positive integer factors of 42354 that divides 42354 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 181, 234, 362, 543, 1086, 1629, 2353, 3258, 4706, 7059, 14118, 21177

Step-4: Factors of 42361

List of positive integer factors of 42361 that divides 42354 without a remainder.

1, 11, 3851

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42354 and 42361. The biggest common factor number is the GCF number.
So the greatest common factor 42354 and 42361 is 1.

Also check out the Least Common Multiple of 42354 and 42361