What is the Greatest Common Factor of 5164 and 5174?

Greatest common factor (GCF) of 5164 and 5174 is 2.

GCF(5164,5174) = 2

We will now calculate the prime factors of 5164 and 5174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5164 and 5174.

How to find the GCF of 5164 and 5174?

We will first find the prime factorization of 5164 and 5174. After we will calculate the factors of 5164 and 5174 and find the biggest common factor number .

Step-1: Prime Factorization of 5164

Prime factors of 5164 are 2, 1291. Prime factorization of 5164 in exponential form is:

5164 = 2² × 1291¹

Step-2: Prime Factorization of 5174

Prime factors of 5174 are 2, 13, 199. Prime factorization of 5174 in exponential form is:

5174 = 2¹ × 13¹ × 199¹

Step-3: Factors of 5164

List of positive integer factors of 5164 that divides 5164 without a remainder.

1, 2, 4, 1291, 2582

Step-4: Factors of 5174

List of positive integer factors of 5174 that divides 5164 without a remainder.

1, 2, 13, 26, 199, 398, 2587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5164 and 5174. The biggest common factor number is the GCF number.
So the greatest common factor 5164 and 5174 is 2.

Also check out the Least Common Multiple of 5164 and 5174