What is the Greatest Common Factor of 91026 and 91031?

Greatest common factor (GCF) of 91026 and 91031 is 1.

GCF(91026,91031) = 1

We will now calculate the prime factors of 91026 and 91031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91026 and 91031.

How to find the GCF of 91026 and 91031?

We will first find the prime factorization of 91026 and 91031. After we will calculate the factors of 91026 and 91031 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 91031

Prime factors of 91031 are 29, 43, 73. Prime factorization of 91031 in exponential form is:

91031 = 29¹ × 43¹ × 73¹

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 91031

List of positive integer factors of 91031 that divides 91026 without a remainder.

1, 29, 43, 73, 1247, 2117, 3139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91026 and 91031. The biggest common factor number is the GCF number.
So the greatest common factor 91026 and 91031 is 1.

Also check out the Least Common Multiple of 91026 and 91031