What is the Greatest Common Factor of 47098 and 47110?

Greatest common factor (GCF) of 47098 and 47110 is 2.

GCF(47098,47110) = 2

We will now calculate the prime factors of 47098 and 47110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47098 and 47110.

How to find the GCF of 47098 and 47110?

We will first find the prime factorization of 47098 and 47110. After we will calculate the factors of 47098 and 47110 and find the biggest common factor number .

Step-1: Prime Factorization of 47098

Prime factors of 47098 are 2, 23549. Prime factorization of 47098 in exponential form is:

47098 = 2¹ × 23549¹

Step-2: Prime Factorization of 47110

Prime factors of 47110 are 2, 5, 7, 673. Prime factorization of 47110 in exponential form is:

47110 = 2¹ × 5¹ × 7¹ × 673¹

Step-3: Factors of 47098

List of positive integer factors of 47098 that divides 47098 without a remainder.

1, 2, 23549

Step-4: Factors of 47110

List of positive integer factors of 47110 that divides 47098 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 673, 1346, 3365, 4711, 6730, 9422, 23555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47098 and 47110. The biggest common factor number is the GCF number.
So the greatest common factor 47098 and 47110 is 2.

Also check out the Least Common Multiple of 47098 and 47110