What is the Greatest Common Factor of 71088 and 71100?

Greatest common factor (GCF) of 71088 and 71100 is 12.

GCF(71088,71100) = 12

We will now calculate the prime factors of 71088 and 71100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71088 and 71100.

How to find the GCF of 71088 and 71100?

We will first find the prime factorization of 71088 and 71100. After we will calculate the factors of 71088 and 71100 and find the biggest common factor number .

Step-1: Prime Factorization of 71088

Prime factors of 71088 are 2, 3, 1481. Prime factorization of 71088 in exponential form is:

71088 = 2⁴ × 3¹ × 1481¹

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 71088

List of positive integer factors of 71088 that divides 71088 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1481, 2962, 4443, 5924, 8886, 11848, 17772, 23696, 35544

Step-4: Factors of 71100

List of positive integer factors of 71100 that divides 71088 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 71088 and 71100. The biggest common factor number is the GCF number.
So the greatest common factor 71088 and 71100 is 12.

Also check out the Least Common Multiple of 71088 and 71100