What is the Greatest Common Factor of 42358 and 42372?

Greatest common factor (GCF) of 42358 and 42372 is 2.

GCF(42358,42372) = 2

We will now calculate the prime factors of 42358 and 42372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42358 and 42372.

How to find the GCF of 42358 and 42372?

We will first find the prime factorization of 42358 and 42372. After we will calculate the factors of 42358 and 42372 and find the biggest common factor number .

Step-1: Prime Factorization of 42358

Prime factors of 42358 are 2, 21179. Prime factorization of 42358 in exponential form is:

42358 = 2¹ × 21179¹

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 42358

List of positive integer factors of 42358 that divides 42358 without a remainder.

1, 2, 21179

Step-4: Factors of 42372

List of positive integer factors of 42372 that divides 42358 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 42358 and 42372. The biggest common factor number is the GCF number.
So the greatest common factor 42358 and 42372 is 2.

Also check out the Least Common Multiple of 42358 and 42372