What is the Greatest Common Factor of 42354 and 42372?

Greatest common factor (GCF) of 42354 and 42372 is 18.

GCF(42354,42372) = 18

We will now calculate the prime factors of 42354 and 42372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42354 and 42372.

How to find the GCF of 42354 and 42372?

We will first find the prime factorization of 42354 and 42372. After we will calculate the factors of 42354 and 42372 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 42372

Prime factors of 42372 are 2, 3, 11, 107. Prime factorization of 42372 in exponential form is:

42372 = 2² × 3² × 11¹ × 107¹

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 42372

List of positive integer factors of 42372 that divides 42354 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 107, 132, 198, 214, 321, 396, 428, 642, 963, 1177, 1284, 1926, 2354, 3531, 3852, 4708, 7062, 10593, 14124, 21186

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42354 and 42372. The biggest common factor number is the GCF number.
So the greatest common factor 42354 and 42372 is 18.

Also check out the Least Common Multiple of 42354 and 42372