What is the Greatest Common Factor of 71490 and 71496?

Greatest common factor (GCF) of 71490 and 71496 is 6.

GCF(71490,71496) = 6

We will now calculate the prime factors of 71490 and 71496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71490 and 71496.

How to find the GCF of 71490 and 71496?

We will first find the prime factorization of 71490 and 71496. After we will calculate the factors of 71490 and 71496 and find the biggest common factor number .

Step-1: Prime Factorization of 71490

Prime factors of 71490 are 2, 3, 5, 2383. Prime factorization of 71490 in exponential form is:

71490 = 2¹ × 3¹ × 5¹ × 2383¹

Step-2: Prime Factorization of 71496

Prime factors of 71496 are 2, 3, 331. Prime factorization of 71496 in exponential form is:

71496 = 2³ × 3³ × 331¹

Step-3: Factors of 71490

List of positive integer factors of 71490 that divides 71490 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2383, 4766, 7149, 11915, 14298, 23830, 35745

Step-4: Factors of 71496

List of positive integer factors of 71496 that divides 71490 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 331, 662, 993, 1324, 1986, 2648, 2979, 3972, 5958, 7944, 8937, 11916, 17874, 23832, 35748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71490 and 71496. The biggest common factor number is the GCF number.
So the greatest common factor 71490 and 71496 is 6.

Also check out the Least Common Multiple of 71490 and 71496