What is the Greatest Common Factor of 81048 and 81059?

Greatest common factor (GCF) of 81048 and 81059 is 11.

GCF(81048,81059) = 11

We will now calculate the prime factors of 81048 and 81059, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81048 and 81059.

How to find the GCF of 81048 and 81059?

We will first find the prime factorization of 81048 and 81059. After we will calculate the factors of 81048 and 81059 and find the biggest common factor number .

Step-1: Prime Factorization of 81048

Prime factors of 81048 are 2, 3, 11, 307. Prime factorization of 81048 in exponential form is:

81048 = 2³ × 3¹ × 11¹ × 307¹

Step-2: Prime Factorization of 81059

Prime factors of 81059 are 11, 7369. Prime factorization of 81059 in exponential form is:

81059 = 11¹ × 7369¹

Step-3: Factors of 81048

List of positive integer factors of 81048 that divides 81048 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 307, 614, 921, 1228, 1842, 2456, 3377, 3684, 6754, 7368, 10131, 13508, 20262, 27016, 40524

Step-4: Factors of 81059

List of positive integer factors of 81059 that divides 81048 without a remainder.

1, 11, 7369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81048 and 81059. The biggest common factor number is the GCF number.
So the greatest common factor 81048 and 81059 is 11.

Also check out the Least Common Multiple of 81048 and 81059