What is the Greatest Common Factor of 42432 and 42442?

Greatest common factor (GCF) of 42432 and 42442 is 2.

GCF(42432,42442) = 2

We will now calculate the prime factors of 42432 and 42442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42432 and 42442.

How to find the GCF of 42432 and 42442?

We will first find the prime factorization of 42432 and 42442. After we will calculate the factors of 42432 and 42442 and find the biggest common factor number .

Step-1: Prime Factorization of 42432

Prime factors of 42432 are 2, 3, 13, 17. Prime factorization of 42432 in exponential form is:

42432 = 2⁶ × 3¹ × 13¹ × 17¹

Step-2: Prime Factorization of 42442

Prime factors of 42442 are 2, 21221. Prime factorization of 42442 in exponential form is:

42442 = 2¹ × 21221¹

Step-3: Factors of 42432

List of positive integer factors of 42432 that divides 42432 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 17, 24, 26, 32, 34, 39, 48, 51, 52, 64, 68, 78, 96, 102, 104, 136, 156, 192, 204, 208, 221, 272, 312, 408, 416, 442, 544, 624, 663, 816, 832, 884, 1088, 1248, 1326, 1632, 1768, 2496, 2652, 3264, 3536, 5304, 7072, 10608, 14144, 21216

Step-4: Factors of 42442

List of positive integer factors of 42442 that divides 42432 without a remainder.

1, 2, 21221

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42432 and 42442. The biggest common factor number is the GCF number.
So the greatest common factor 42432 and 42442 is 2.

Also check out the Least Common Multiple of 42432 and 42442