What is the Greatest Common Factor of 42042 and 42056?

Greatest common factor (GCF) of 42042 and 42056 is 14.

GCF(42042,42056) = 14

We will now calculate the prime factors of 42042 and 42056, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42042 and 42056.

How to find the GCF of 42042 and 42056?

We will first find the prime factorization of 42042 and 42056. After we will calculate the factors of 42042 and 42056 and find the biggest common factor number .

Step-1: Prime Factorization of 42042

Prime factors of 42042 are 2, 3, 7, 11, 13. Prime factorization of 42042 in exponential form is:

42042 = 2¹ × 3¹ × 7² × 11¹ × 13¹

Step-2: Prime Factorization of 42056

Prime factors of 42056 are 2, 7, 751. Prime factorization of 42056 in exponential form is:

42056 = 2³ × 7¹ × 751¹

Step-3: Factors of 42042

List of positive integer factors of 42042 that divides 42042 without a remainder.

1, 2, 3, 6, 7, 11, 13, 14, 21, 22, 26, 33, 39, 42, 49, 66, 77, 78, 91, 98, 143, 147, 154, 182, 231, 273, 286, 294, 429, 462, 539, 546, 637, 858, 1001, 1078, 1274, 1617, 1911, 2002, 3003, 3234, 3822, 6006, 7007, 14014, 21021

Step-4: Factors of 42056

List of positive integer factors of 42056 that divides 42042 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 751, 1502, 3004, 5257, 6008, 10514, 21028

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42042 and 42056. The biggest common factor number is the GCF number.
So the greatest common factor 42042 and 42056 is 14.

Also check out the Least Common Multiple of 42042 and 42056