What is the Greatest Common Factor of 42048 and 42052?

Greatest common factor (GCF) of 42048 and 42052 is 4.

GCF(42048,42052) = 4

We will now calculate the prime factors of 42048 and 42052, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42048 and 42052.

How to find the GCF of 42048 and 42052?

We will first find the prime factorization of 42048 and 42052. After we will calculate the factors of 42048 and 42052 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 42052

Prime factors of 42052 are 2, 10513. Prime factorization of 42052 in exponential form is:

42052 = 2² × 10513¹

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 42052

List of positive integer factors of 42052 that divides 42048 without a remainder.

1, 2, 4, 10513, 21026

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42048 and 42052. The biggest common factor number is the GCF number.
So the greatest common factor 42048 and 42052 is 4.

Also check out the Least Common Multiple of 42048 and 42052