What is the Greatest Common Factor of 42112 and 42127?

Greatest common factor (GCF) of 42112 and 42127 is 1.

GCF(42112,42127) = 1

We will now calculate the prime factors of 42112 and 42127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42112 and 42127.

How to find the GCF of 42112 and 42127?

We will first find the prime factorization of 42112 and 42127. After we will calculate the factors of 42112 and 42127 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 42127

Prime factors of 42127 are 103, 409. Prime factorization of 42127 in exponential form is:

42127 = 103¹ × 409¹

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 42127

List of positive integer factors of 42127 that divides 42112 without a remainder.

1, 103, 409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42112 and 42127. The biggest common factor number is the GCF number.
So the greatest common factor 42112 and 42127 is 1.

Also check out the Least Common Multiple of 42112 and 42127