What is the Greatest Common Factor of 71085 and 71100?

Greatest common factor (GCF) of 71085 and 71100 is 15.

GCF(71085,71100) = 15

We will now calculate the prime factors of 71085 and 71100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71085 and 71100.

How to find the GCF of 71085 and 71100?

We will first find the prime factorization of 71085 and 71100. After we will calculate the factors of 71085 and 71100 and find the biggest common factor number .

Step-1: Prime Factorization of 71085

Prime factors of 71085 are 3, 5, 7, 677. Prime factorization of 71085 in exponential form is:

71085 = 3¹ × 5¹ × 7¹ × 677¹

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 71085

List of positive integer factors of 71085 that divides 71085 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 677, 2031, 3385, 4739, 10155, 14217, 23695

Step-4: Factors of 71100

List of positive integer factors of 71100 that divides 71085 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 71085 and 71100. The biggest common factor number is the GCF number.
So the greatest common factor 71085 and 71100 is 15.

Also check out the Least Common Multiple of 71085 and 71100