What is the Greatest Common Factor of 42048 and 42058?

Greatest common factor (GCF) of 42048 and 42058 is 2.

GCF(42048,42058) = 2

We will now calculate the prime factors of 42048 and 42058, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42048 and 42058.

How to find the GCF of 42048 and 42058?

We will first find the prime factorization of 42048 and 42058. After we will calculate the factors of 42048 and 42058 and find the biggest common factor number .

Step-1: Prime Factorization of 42048

Prime factors of 42048 are 2, 3, 73. Prime factorization of 42048 in exponential form is:

42048 = 2⁶ × 3² × 73¹

Step-2: Prime Factorization of 42058

Prime factors of 42058 are 2, 17, 1237. Prime factorization of 42058 in exponential form is:

42058 = 2¹ × 17¹ × 1237¹

Step-3: Factors of 42048

List of positive integer factors of 42048 that divides 42048 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 73, 96, 144, 146, 192, 219, 288, 292, 438, 576, 584, 657, 876, 1168, 1314, 1752, 2336, 2628, 3504, 4672, 5256, 7008, 10512, 14016, 21024

Step-4: Factors of 42058

List of positive integer factors of 42058 that divides 42048 without a remainder.

1, 2, 17, 34, 1237, 2474, 21029

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42048 and 42058. The biggest common factor number is the GCF number.
So the greatest common factor 42048 and 42058 is 2.

Also check out the Least Common Multiple of 42048 and 42058