What is the Greatest Common Factor of 71180 and 71192?

Greatest common factor (GCF) of 71180 and 71192 is 4.

GCF(71180,71192) = 4

We will now calculate the prime factors of 71180 and 71192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71180 and 71192.

How to find the GCF of 71180 and 71192?

We will first find the prime factorization of 71180 and 71192. After we will calculate the factors of 71180 and 71192 and find the biggest common factor number .

Step-1: Prime Factorization of 71180

Prime factors of 71180 are 2, 5, 3559. Prime factorization of 71180 in exponential form is:

71180 = 2² × 5¹ × 3559¹

Step-2: Prime Factorization of 71192

Prime factors of 71192 are 2, 11, 809. Prime factorization of 71192 in exponential form is:

71192 = 2³ × 11¹ × 809¹

Step-3: Factors of 71180

List of positive integer factors of 71180 that divides 71180 without a remainder.

1, 2, 4, 5, 10, 20, 3559, 7118, 14236, 17795, 35590

Step-4: Factors of 71192

List of positive integer factors of 71192 that divides 71180 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 809, 1618, 3236, 6472, 8899, 17798, 35596

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71180 and 71192. The biggest common factor number is the GCF number.
So the greatest common factor 71180 and 71192 is 4.

Also check out the Least Common Multiple of 71180 and 71192