What is the Greatest Common Factor of 42104 and 42116?

Greatest common factor (GCF) of 42104 and 42116 is 4.

GCF(42104,42116) = 4

We will now calculate the prime factors of 42104 and 42116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42104 and 42116.

How to find the GCF of 42104 and 42116?

We will first find the prime factorization of 42104 and 42116. After we will calculate the factors of 42104 and 42116 and find the biggest common factor number .

Step-1: Prime Factorization of 42104

Prime factors of 42104 are 2, 19, 277. Prime factorization of 42104 in exponential form is:

42104 = 2³ × 19¹ × 277¹

Step-2: Prime Factorization of 42116

Prime factors of 42116 are 2, 10529. Prime factorization of 42116 in exponential form is:

42116 = 2² × 10529¹

Step-3: Factors of 42104

List of positive integer factors of 42104 that divides 42104 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 277, 554, 1108, 2216, 5263, 10526, 21052

Step-4: Factors of 42116

List of positive integer factors of 42116 that divides 42104 without a remainder.

1, 2, 4, 10529, 21058

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42104 and 42116. The biggest common factor number is the GCF number.
So the greatest common factor 42104 and 42116 is 4.

Also check out the Least Common Multiple of 42104 and 42116