What is the Greatest Common Factor of 71174 and 71188?

Greatest common factor (GCF) of 71174 and 71188 is 2.

GCF(71174,71188) = 2

We will now calculate the prime factors of 71174 and 71188, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71174 and 71188.

How to find the GCF of 71174 and 71188?

We will first find the prime factorization of 71174 and 71188. After we will calculate the factors of 71174 and 71188 and find the biggest common factor number .

Step-1: Prime Factorization of 71174

Prime factors of 71174 are 2, 19, 1873. Prime factorization of 71174 in exponential form is:

71174 = 2¹ × 19¹ × 1873¹

Step-2: Prime Factorization of 71188

Prime factors of 71188 are 2, 13, 37. Prime factorization of 71188 in exponential form is:

71188 = 2² × 13¹ × 37²

Step-3: Factors of 71174

List of positive integer factors of 71174 that divides 71174 without a remainder.

1, 2, 19, 38, 1873, 3746, 35587

Step-4: Factors of 71188

List of positive integer factors of 71188 that divides 71174 without a remainder.

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1369, 1924, 2738, 5476, 17797, 35594

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71174 and 71188. The biggest common factor number is the GCF number.
So the greatest common factor 71174 and 71188 is 2.

Also check out the Least Common Multiple of 71174 and 71188