What is the Greatest Common Factor of 42028 and 42042?

Greatest common factor (GCF) of 42028 and 42042 is 14.

GCF(42028,42042) = 14

We will now calculate the prime factors of 42028 and 42042, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42028 and 42042.

How to find the GCF of 42028 and 42042?

We will first find the prime factorization of 42028 and 42042. After we will calculate the factors of 42028 and 42042 and find the biggest common factor number .

Step-1: Prime Factorization of 42028

Prime factors of 42028 are 2, 7, 19, 79. Prime factorization of 42028 in exponential form is:

42028 = 2² × 7¹ × 19¹ × 79¹

Step-2: 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-3: Factors of 42028

List of positive integer factors of 42028 that divides 42028 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 79, 133, 158, 266, 316, 532, 553, 1106, 1501, 2212, 3002, 6004, 10507, 21014

Step-4: Factors of 42042

List of positive integer factors of 42042 that divides 42028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42028 and 42042. The biggest common factor number is the GCF number.
So the greatest common factor 42028 and 42042 is 14.

Also check out the Least Common Multiple of 42028 and 42042