What is the Greatest Common Factor of 91098 and 91107?

Greatest common factor (GCF) of 91098 and 91107 is 9.

GCF(91098,91107) = 9

We will now calculate the prime factors of 91098 and 91107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91098 and 91107.

How to find the GCF of 91098 and 91107?

We will first find the prime factorization of 91098 and 91107. After we will calculate the factors of 91098 and 91107 and find the biggest common factor number .

Step-1: Prime Factorization of 91098

Prime factors of 91098 are 2, 3, 7, 241. Prime factorization of 91098 in exponential form is:

91098 = 2¹ × 3³ × 7¹ × 241¹

Step-2: Prime Factorization of 91107

Prime factors of 91107 are 3, 53, 191. Prime factorization of 91107 in exponential form is:

91107 = 3² × 53¹ × 191¹

Step-3: Factors of 91098

List of positive integer factors of 91098 that divides 91098 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 241, 378, 482, 723, 1446, 1687, 2169, 3374, 4338, 5061, 6507, 10122, 13014, 15183, 30366, 45549

Step-4: Factors of 91107

List of positive integer factors of 91107 that divides 91098 without a remainder.

1, 3, 9, 53, 159, 191, 477, 573, 1719, 10123, 30369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91098 and 91107. The biggest common factor number is the GCF number.
So the greatest common factor 91098 and 91107 is 9.

Also check out the Least Common Multiple of 91098 and 91107