What is the Greatest Common Factor of 42108 and 42121?

Greatest common factor (GCF) of 42108 and 42121 is 1.

GCF(42108,42121) = 1

We will now calculate the prime factors of 42108 and 42121, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42108 and 42121.

How to find the GCF of 42108 and 42121?

We will first find the prime factorization of 42108 and 42121. After we will calculate the factors of 42108 and 42121 and find the biggest common factor number .

Step-1: Prime Factorization of 42108

Prime factors of 42108 are 2, 3, 11, 29. Prime factorization of 42108 in exponential form is:

42108 = 2² × 3¹ × 11² × 29¹

Step-2: Prime Factorization of 42121

Prime factors of 42121 are 73, 577. Prime factorization of 42121 in exponential form is:

42121 = 73¹ × 577¹

Step-3: Factors of 42108

List of positive integer factors of 42108 that divides 42108 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 29, 33, 44, 58, 66, 87, 116, 121, 132, 174, 242, 319, 348, 363, 484, 638, 726, 957, 1276, 1452, 1914, 3509, 3828, 7018, 10527, 14036, 21054

Step-4: Factors of 42121

List of positive integer factors of 42121 that divides 42108 without a remainder.

1, 73, 577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42108 and 42121. The biggest common factor number is the GCF number.
So the greatest common factor 42108 and 42121 is 1.

Also check out the Least Common Multiple of 42108 and 42121