What is the Greatest Common Factor of 70174 and 70184?

Greatest common factor (GCF) of 70174 and 70184 is 2.

GCF(70174,70184) = 2

We will now calculate the prime factors of 70174 and 70184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70174 and 70184.

How to find the GCF of 70174 and 70184?

We will first find the prime factorization of 70174 and 70184. After we will calculate the factors of 70174 and 70184 and find the biggest common factor number .

Step-1: Prime Factorization of 70174

Prime factors of 70174 are 2, 13, 2699. Prime factorization of 70174 in exponential form is:

70174 = 2¹ × 13¹ × 2699¹

Step-2: Prime Factorization of 70184

Prime factors of 70184 are 2, 31, 283. Prime factorization of 70184 in exponential form is:

70184 = 2³ × 31¹ × 283¹

Step-3: Factors of 70174

List of positive integer factors of 70174 that divides 70174 without a remainder.

1, 2, 13, 26, 2699, 5398, 35087

Step-4: Factors of 70184

List of positive integer factors of 70184 that divides 70174 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248, 283, 566, 1132, 2264, 8773, 17546, 35092

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70174 and 70184. The biggest common factor number is the GCF number.
So the greatest common factor 70174 and 70184 is 2.

Also check out the Least Common Multiple of 70174 and 70184