What is the Greatest Common Factor of 45142 and 45154?

Greatest common factor (GCF) of 45142 and 45154 is 2.

GCF(45142,45154) = 2

We will now calculate the prime factors of 45142 and 45154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45142 and 45154.

How to find the GCF of 45142 and 45154?

We will first find the prime factorization of 45142 and 45154. After we will calculate the factors of 45142 and 45154 and find the biggest common factor number .

Step-1: Prime Factorization of 45142

Prime factors of 45142 are 2, 22571. Prime factorization of 45142 in exponential form is:

45142 = 2¹ × 22571¹

Step-2: Prime Factorization of 45154

Prime factors of 45154 are 2, 107, 211. Prime factorization of 45154 in exponential form is:

45154 = 2¹ × 107¹ × 211¹

Step-3: Factors of 45142

List of positive integer factors of 45142 that divides 45142 without a remainder.

1, 2, 22571

Step-4: Factors of 45154

List of positive integer factors of 45154 that divides 45142 without a remainder.

1, 2, 107, 211, 214, 422, 22577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45142 and 45154. The biggest common factor number is the GCF number.
So the greatest common factor 45142 and 45154 is 2.

Also check out the Least Common Multiple of 45142 and 45154