What is the Greatest Common Factor of 42042 and 42050?

Greatest common factor (GCF) of 42042 and 42050 is 2.

GCF(42042,42050) = 2

We will now calculate the prime factors of 42042 and 42050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42042 and 42050.

How to find the GCF of 42042 and 42050?

We will first find the prime factorization of 42042 and 42050. After we will calculate the factors of 42042 and 42050 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 42050

Prime factors of 42050 are 2, 5, 29. Prime factorization of 42050 in exponential form is:

42050 = 2¹ × 5² × 29²

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 42050

List of positive integer factors of 42050 that divides 42042 without a remainder.

1, 2, 5, 10, 25, 29, 50, 58, 145, 290, 725, 841, 1450, 1682, 4205, 8410, 21025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42042 and 42050. The biggest common factor number is the GCF number.
So the greatest common factor 42042 and 42050 is 2.

Also check out the Least Common Multiple of 42042 and 42050