What is the Greatest Common Factor of 42112 and 42128?

Greatest common factor (GCF) of 42112 and 42128 is 16.

GCF(42112,42128) = 16

We will now calculate the prime factors of 42112 and 42128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42112 and 42128.

How to find the GCF of 42112 and 42128?

We will first find the prime factorization of 42112 and 42128. After we will calculate the factors of 42112 and 42128 and find the biggest common factor number .

Step-1: Prime Factorization of 42112

Prime factors of 42112 are 2, 7, 47. Prime factorization of 42112 in exponential form is:

42112 = 2⁷ × 7¹ × 47¹

Step-2: Prime Factorization of 42128

Prime factors of 42128 are 2, 2633. Prime factorization of 42128 in exponential form is:

42128 = 2⁴ × 2633¹

Step-3: Factors of 42112

List of positive integer factors of 42112 that divides 42112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 47, 56, 64, 94, 112, 128, 188, 224, 329, 376, 448, 658, 752, 896, 1316, 1504, 2632, 3008, 5264, 6016, 10528, 21056

Step-4: Factors of 42128

List of positive integer factors of 42128 that divides 42112 without a remainder.

1, 2, 4, 8, 16, 2633, 5266, 10532, 21064

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42112 and 42128. The biggest common factor number is the GCF number.
So the greatest common factor 42112 and 42128 is 16.

Also check out the Least Common Multiple of 42112 and 42128