What is the Greatest Common Factor of 49168 and 49174?

Greatest common factor (GCF) of 49168 and 49174 is 2.

GCF(49168,49174) = 2

We will now calculate the prime factors of 49168 and 49174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49168 and 49174.

How to find the GCF of 49168 and 49174?

We will first find the prime factorization of 49168 and 49174. After we will calculate the factors of 49168 and 49174 and find the biggest common factor number .

Step-1: Prime Factorization of 49168

Prime factors of 49168 are 2, 7, 439. Prime factorization of 49168 in exponential form is:

49168 = 2⁴ × 7¹ × 439¹

Step-2: Prime Factorization of 49174

Prime factors of 49174 are 2, 23, 1069. Prime factorization of 49174 in exponential form is:

49174 = 2¹ × 23¹ × 1069¹

Step-3: Factors of 49168

List of positive integer factors of 49168 that divides 49168 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 439, 878, 1756, 3073, 3512, 6146, 7024, 12292, 24584

Step-4: Factors of 49174

List of positive integer factors of 49174 that divides 49168 without a remainder.

1, 2, 23, 46, 1069, 2138, 24587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49168 and 49174. The biggest common factor number is the GCF number.
So the greatest common factor 49168 and 49174 is 2.

Also check out the Least Common Multiple of 49168 and 49174