What is the Greatest Common Factor of 70096 and 70114?

Greatest common factor (GCF) of 70096 and 70114 is 2.

GCF(70096,70114) = 2

We will now calculate the prime factors of 70096 and 70114, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70096 and 70114.

How to find the GCF of 70096 and 70114?

We will first find the prime factorization of 70096 and 70114. After we will calculate the factors of 70096 and 70114 and find the biggest common factor number .

Step-1: Prime Factorization of 70096

Prime factors of 70096 are 2, 13, 337. Prime factorization of 70096 in exponential form is:

70096 = 2⁴ × 13¹ × 337¹

Step-2: Prime Factorization of 70114

Prime factors of 70114 are 2, 11, 3187. Prime factorization of 70114 in exponential form is:

70114 = 2¹ × 11¹ × 3187¹

Step-3: Factors of 70096

List of positive integer factors of 70096 that divides 70096 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 337, 674, 1348, 2696, 4381, 5392, 8762, 17524, 35048

Step-4: Factors of 70114

List of positive integer factors of 70114 that divides 70096 without a remainder.

1, 2, 11, 22, 3187, 6374, 35057

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70096 and 70114. The biggest common factor number is the GCF number.
So the greatest common factor 70096 and 70114 is 2.

Also check out the Least Common Multiple of 70096 and 70114