What is the Greatest Common Factor of 42008 and 42014?

Greatest common factor (GCF) of 42008 and 42014 is 2.

GCF(42008,42014) = 2

We will now calculate the prime factors of 42008 and 42014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42008 and 42014.

How to find the GCF of 42008 and 42014?

We will first find the prime factorization of 42008 and 42014. After we will calculate the factors of 42008 and 42014 and find the biggest common factor number .

Step-1: Prime Factorization of 42008

Prime factors of 42008 are 2, 59, 89. Prime factorization of 42008 in exponential form is:

42008 = 2³ × 59¹ × 89¹

Step-2: 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-3: Factors of 42008

List of positive integer factors of 42008 that divides 42008 without a remainder.

1, 2, 4, 8, 59, 89, 118, 178, 236, 356, 472, 712, 5251, 10502, 21004

Step-4: Factors of 42014

List of positive integer factors of 42014 that divides 42008 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42008 and 42014. The biggest common factor number is the GCF number.
So the greatest common factor 42008 and 42014 is 2.

Also check out the Least Common Multiple of 42008 and 42014