What is the Greatest Common Factor of 45238 and 45242?

Greatest common factor (GCF) of 45238 and 45242 is 2.

GCF(45238,45242) = 2

We will now calculate the prime factors of 45238 and 45242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45238 and 45242.

How to find the GCF of 45238 and 45242?

We will first find the prime factorization of 45238 and 45242. After we will calculate the factors of 45238 and 45242 and find the biggest common factor number .

Step-1: Prime Factorization of 45238

Prime factors of 45238 are 2, 22619. Prime factorization of 45238 in exponential form is:

45238 = 2¹ × 22619¹

Step-2: Prime Factorization of 45242

Prime factors of 45242 are 2, 22621. Prime factorization of 45242 in exponential form is:

45242 = 2¹ × 22621¹

Step-3: Factors of 45238

List of positive integer factors of 45238 that divides 45238 without a remainder.

1, 2, 22619

Step-4: Factors of 45242

List of positive integer factors of 45242 that divides 45238 without a remainder.

1, 2, 22621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45238 and 45242. The biggest common factor number is the GCF number.
So the greatest common factor 45238 and 45242 is 2.

Also check out the Least Common Multiple of 45238 and 45242