What is the Greatest Common Factor of 42112 and 42126?

Greatest common factor (GCF) of 42112 and 42126 is 14.

GCF(42112,42126) = 14

We will now calculate the prime factors of 42112 and 42126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42112 and 42126.

How to find the GCF of 42112 and 42126?

We will first find the prime factorization of 42112 and 42126. After we will calculate the factors of 42112 and 42126 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 42126

Prime factors of 42126 are 2, 3, 7, 17, 59. Prime factorization of 42126 in exponential form is:

42126 = 2¹ × 3¹ × 7¹ × 17¹ × 59¹

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 42126

List of positive integer factors of 42126 that divides 42112 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 59, 102, 118, 119, 177, 238, 354, 357, 413, 714, 826, 1003, 1239, 2006, 2478, 3009, 6018, 7021, 14042, 21063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42112 and 42126. The biggest common factor number is the GCF number.
So the greatest common factor 42112 and 42126 is 14.

Also check out the Least Common Multiple of 42112 and 42126