What is the Greatest Common Factor of 42096 and 42105?

Greatest common factor (GCF) of 42096 and 42105 is 3.

GCF(42096,42105) = 3

We will now calculate the prime factors of 42096 and 42105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42096 and 42105.

How to find the GCF of 42096 and 42105?

We will first find the prime factorization of 42096 and 42105. After we will calculate the factors of 42096 and 42105 and find the biggest common factor number .

Step-1: Prime Factorization of 42096

Prime factors of 42096 are 2, 3, 877. Prime factorization of 42096 in exponential form is:

42096 = 2⁴ × 3¹ × 877¹

Step-2: 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-3: Factors of 42096

List of positive integer factors of 42096 that divides 42096 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 877, 1754, 2631, 3508, 5262, 7016, 10524, 14032, 21048

Step-4: Factors of 42105

List of positive integer factors of 42105 that divides 42096 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42096 and 42105. The biggest common factor number is the GCF number.
So the greatest common factor 42096 and 42105 is 3.

Also check out the Least Common Multiple of 42096 and 42105