What is the Greatest Common Factor of 42352 and 42372?

Greatest common factor (GCF) of 42352 and 42372 is 4.

GCF(42352,42372) = 4

We will now calculate the prime factors of 42352 and 42372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42352 and 42372.

How to find the GCF of 42352 and 42372?

We will first find the prime factorization of 42352 and 42372. After we will calculate the factors of 42352 and 42372 and find the biggest common factor number .

Step-1: Prime Factorization of 42352

Prime factors of 42352 are 2, 2647. Prime factorization of 42352 in exponential form is:

42352 = 2⁴ × 2647¹

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 42352

List of positive integer factors of 42352 that divides 42352 without a remainder.

1, 2, 4, 8, 16, 2647, 5294, 10588, 21176

Step-4: Factors of 42372

List of positive integer factors of 42372 that divides 42352 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 42352 and 42372. The biggest common factor number is the GCF number.
So the greatest common factor 42352 and 42372 is 4.

Also check out the Least Common Multiple of 42352 and 42372