What is the Greatest Common Factor of 71086 and 71100?

Greatest common factor (GCF) of 71086 and 71100 is 2.

GCF(71086,71100) = 2

We will now calculate the prime factors of 71086 and 71100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71086 and 71100.

How to find the GCF of 71086 and 71100?

We will first find the prime factorization of 71086 and 71100. After we will calculate the factors of 71086 and 71100 and find the biggest common factor number .

Step-1: Prime Factorization of 71086

Prime factors of 71086 are 2, 35543. Prime factorization of 71086 in exponential form is:

71086 = 2¹ × 35543¹

Step-2: Prime Factorization of 71100

Prime factors of 71100 are 2, 3, 5, 79. Prime factorization of 71100 in exponential form is:

71100 = 2² × 3² × 5² × 79¹

Step-3: Factors of 71086

List of positive integer factors of 71086 that divides 71086 without a remainder.

1, 2, 35543

Step-4: Factors of 71100

List of positive integer factors of 71100 that divides 71086 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 79, 90, 100, 150, 158, 180, 225, 237, 300, 316, 395, 450, 474, 711, 790, 900, 948, 1185, 1422, 1580, 1975, 2370, 2844, 3555, 3950, 4740, 5925, 7110, 7900, 11850, 14220, 17775, 23700, 35550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71086 and 71100. The biggest common factor number is the GCF number.
So the greatest common factor 71086 and 71100 is 2.

Also check out the Least Common Multiple of 71086 and 71100