What is the Greatest Common Factor of 42354 and 42365?

Greatest common factor (GCF) of 42354 and 42365 is 1.

GCF(42354,42365) = 1

We will now calculate the prime factors of 42354 and 42365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42354 and 42365.

How to find the GCF of 42354 and 42365?

We will first find the prime factorization of 42354 and 42365. After we will calculate the factors of 42354 and 42365 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 42365

Prime factors of 42365 are 5, 37, 229. Prime factorization of 42365 in exponential form is:

42365 = 5¹ × 37¹ × 229¹

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 42365

List of positive integer factors of 42365 that divides 42354 without a remainder.

1, 5, 37, 185, 229, 1145, 8473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42354 and 42365. The biggest common factor number is the GCF number.
So the greatest common factor 42354 and 42365 is 1.

Also check out the Least Common Multiple of 42354 and 42365