What is the Greatest Common Factor of 91026 and 91032?

Greatest common factor (GCF) of 91026 and 91032 is 6.

GCF(91026,91032) = 6

We will now calculate the prime factors of 91026 and 91032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91026 and 91032.

How to find the GCF of 91026 and 91032?

We will first find the prime factorization of 91026 and 91032. After we will calculate the factors of 91026 and 91032 and find the biggest common factor number .

Step-1: Prime Factorization of 91026

Prime factors of 91026 are 2, 3, 13, 389. Prime factorization of 91026 in exponential form is:

91026 = 2¹ × 3² × 13¹ × 389¹

Step-2: Prime Factorization of 91032

Prime factors of 91032 are 2, 3, 3793. Prime factorization of 91032 in exponential form is:

91032 = 2³ × 3¹ × 3793¹

Step-3: Factors of 91026

List of positive integer factors of 91026 that divides 91026 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 389, 778, 1167, 2334, 3501, 5057, 7002, 10114, 15171, 30342, 45513

Step-4: Factors of 91032

List of positive integer factors of 91032 that divides 91026 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3793, 7586, 11379, 15172, 22758, 30344, 45516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91026 and 91032. The biggest common factor number is the GCF number.
So the greatest common factor 91026 and 91032 is 6.

Also check out the Least Common Multiple of 91026 and 91032