What is the Greatest Common Factor of 42014 and 42021?

Greatest common factor (GCF) of 42014 and 42021 is 7.

GCF(42014,42021) = 7

We will now calculate the prime factors of 42014 and 42021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42014 and 42021.

How to find the GCF of 42014 and 42021?

We will first find the prime factorization of 42014 and 42021. After we will calculate the factors of 42014 and 42021 and find the biggest common factor number .

Step-1: Prime Factorization of 42014

Prime factors of 42014 are 2, 7, 3001. Prime factorization of 42014 in exponential form is:

42014 = 2¹ × 7¹ × 3001¹

Step-2: Prime Factorization of 42021

Prime factors of 42021 are 3, 7, 23, 29. Prime factorization of 42021 in exponential form is:

42021 = 3² × 7¹ × 23¹ × 29¹

Step-3: Factors of 42014

List of positive integer factors of 42014 that divides 42014 without a remainder.

1, 2, 7, 14, 3001, 6002, 21007

Step-4: Factors of 42021

List of positive integer factors of 42021 that divides 42014 without a remainder.

1, 3, 7, 9, 21, 23, 29, 63, 69, 87, 161, 203, 207, 261, 483, 609, 667, 1449, 1827, 2001, 4669, 6003, 14007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42014 and 42021. The biggest common factor number is the GCF number.
So the greatest common factor 42014 and 42021 is 7.

Also check out the Least Common Multiple of 42014 and 42021