What is the Greatest Common Factor of 71082 and 71088?

Greatest common factor (GCF) of 71082 and 71088 is 6.

GCF(71082,71088) = 6

We will now calculate the prime factors of 71082 and 71088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71082 and 71088.

How to find the GCF of 71082 and 71088?

We will first find the prime factorization of 71082 and 71088. After we will calculate the factors of 71082 and 71088 and find the biggest common factor number .

Step-1: Prime Factorization of 71082

Prime factors of 71082 are 2, 3, 11, 359. Prime factorization of 71082 in exponential form is:

71082 = 2¹ × 3² × 11¹ × 359¹

Step-2: 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-3: Factors of 71082

List of positive integer factors of 71082 that divides 71082 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 359, 718, 1077, 2154, 3231, 3949, 6462, 7898, 11847, 23694, 35541

Step-4: Factors of 71088

List of positive integer factors of 71088 that divides 71082 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71082 and 71088. The biggest common factor number is the GCF number.
So the greatest common factor 71082 and 71088 is 6.

Also check out the Least Common Multiple of 71082 and 71088