What is the Greatest Common Factor of 42042 and 42049?

Greatest common factor (GCF) of 42042 and 42049 is 7.

GCF(42042,42049) = 7

We will now calculate the prime factors of 42042 and 42049, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42042 and 42049.

How to find the GCF of 42042 and 42049?

We will first find the prime factorization of 42042 and 42049. After we will calculate the factors of 42042 and 42049 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 42049

Prime factors of 42049 are 7, 6007. Prime factorization of 42049 in exponential form is:

42049 = 7¹ × 6007¹

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 42049

List of positive integer factors of 42049 that divides 42042 without a remainder.

1, 7, 6007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42042 and 42049. The biggest common factor number is the GCF number.
So the greatest common factor 42042 and 42049 is 7.

Also check out the Least Common Multiple of 42042 and 42049