What is the Greatest Common Factor of 71100 and 71117?

Greatest common factor (GCF) of 71100 and 71117 is 1.

GCF(71100,71117) = 1

We will now calculate the prime factors of 71100 and 71117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71100 and 71117.

How to find the GCF of 71100 and 71117?

We will first find the prime factorization of 71100 and 71117. After we will calculate the factors of 71100 and 71117 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 71117

Prime factors of 71117 are 19, 197. Prime factorization of 71117 in exponential form is:

71117 = 19² × 197¹

Step-3: Factors of 71100

List of positive integer factors of 71100 that divides 71100 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

Step-4: Factors of 71117

List of positive integer factors of 71117 that divides 71100 without a remainder.

1, 19, 197, 361, 3743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71100 and 71117. The biggest common factor number is the GCF number.
So the greatest common factor 71100 and 71117 is 1.

Also check out the Least Common Multiple of 71100 and 71117