What is the Greatest Common Factor of 81034 and 81048?

Greatest common factor (GCF) of 81034 and 81048 is 2.

GCF(81034,81048) = 2

We will now calculate the prime factors of 81034 and 81048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81034 and 81048.

How to find the GCF of 81034 and 81048?

We will first find the prime factorization of 81034 and 81048. After we will calculate the factors of 81034 and 81048 and find the biggest common factor number .

Step-1: Prime Factorization of 81034

Prime factors of 81034 are 2, 31, 1307. Prime factorization of 81034 in exponential form is:

81034 = 2¹ × 31¹ × 1307¹

Step-2: 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-3: Factors of 81034

List of positive integer factors of 81034 that divides 81034 without a remainder.

1, 2, 31, 62, 1307, 2614, 40517

Step-4: Factors of 81048

List of positive integer factors of 81048 that divides 81034 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81034 and 81048. The biggest common factor number is the GCF number.
So the greatest common factor 81034 and 81048 is 2.

Also check out the Least Common Multiple of 81034 and 81048