What is the Greatest Common Factor of 42105 and 42115?

Greatest common factor (GCF) of 42105 and 42115 is 5.

GCF(42105,42115) = 5

We will now calculate the prime factors of 42105 and 42115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42105 and 42115.

How to find the GCF of 42105 and 42115?

We will first find the prime factorization of 42105 and 42115. After we will calculate the factors of 42105 and 42115 and find the biggest common factor number .

Step-1: Prime Factorization of 42105

Prime factors of 42105 are 3, 5, 7, 401. Prime factorization of 42105 in exponential form is:

42105 = 3¹ × 5¹ × 7¹ × 401¹

Step-2: Prime Factorization of 42115

Prime factors of 42115 are 5, 8423. Prime factorization of 42115 in exponential form is:

42115 = 5¹ × 8423¹

Step-3: Factors of 42105

List of positive integer factors of 42105 that divides 42105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 401, 1203, 2005, 2807, 6015, 8421, 14035

Step-4: Factors of 42115

List of positive integer factors of 42115 that divides 42105 without a remainder.

1, 5, 8423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42105 and 42115. The biggest common factor number is the GCF number.
So the greatest common factor 42105 and 42115 is 5.

Also check out the Least Common Multiple of 42105 and 42115