What is the Greatest Common Factor of 90834 and 90846?

Greatest common factor (GCF) of 90834 and 90846 is 6.

GCF(90834,90846) = 6

We will now calculate the prime factors of 90834 and 90846, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90834 and 90846.

How to find the GCF of 90834 and 90846?

We will first find the prime factorization of 90834 and 90846. After we will calculate the factors of 90834 and 90846 and find the biggest common factor number .

Step-1: Prime Factorization of 90834

Prime factors of 90834 are 2, 3, 15139. Prime factorization of 90834 in exponential form is:

90834 = 2¹ × 3¹ × 15139¹

Step-2: Prime Factorization of 90846

Prime factors of 90846 are 2, 3, 7, 103. Prime factorization of 90846 in exponential form is:

90846 = 2¹ × 3² × 7² × 103¹

Step-3: Factors of 90834

List of positive integer factors of 90834 that divides 90834 without a remainder.

1, 2, 3, 6, 15139, 30278, 45417

Step-4: Factors of 90846

List of positive integer factors of 90846 that divides 90834 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 103, 126, 147, 206, 294, 309, 441, 618, 721, 882, 927, 1442, 1854, 2163, 4326, 5047, 6489, 10094, 12978, 15141, 30282, 45423

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90834 and 90846. The biggest common factor number is the GCF number.
So the greatest common factor 90834 and 90846 is 6.

Also check out the Least Common Multiple of 90834 and 90846