What is the Greatest Common Factor of 45098 and 45118?

Greatest common factor (GCF) of 45098 and 45118 is 2.

GCF(45098,45118) = 2

We will now calculate the prime factors of 45098 and 45118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45098 and 45118.

How to find the GCF of 45098 and 45118?

We will first find the prime factorization of 45098 and 45118. After we will calculate the factors of 45098 and 45118 and find the biggest common factor number .

Step-1: Prime Factorization of 45098

Prime factors of 45098 are 2, 22549. Prime factorization of 45098 in exponential form is:

45098 = 2¹ × 22549¹

Step-2: Prime Factorization of 45118

Prime factors of 45118 are 2, 17, 1327. Prime factorization of 45118 in exponential form is:

45118 = 2¹ × 17¹ × 1327¹

Step-3: Factors of 45098

List of positive integer factors of 45098 that divides 45098 without a remainder.

1, 2, 22549

Step-4: Factors of 45118

List of positive integer factors of 45118 that divides 45098 without a remainder.

1, 2, 17, 34, 1327, 2654, 22559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45098 and 45118. The biggest common factor number is the GCF number.
So the greatest common factor 45098 and 45118 is 2.

Also check out the Least Common Multiple of 45098 and 45118