What is the Greatest Common Factor of 91098 and 91112?

Greatest common factor (GCF) of 91098 and 91112 is 14.

GCF(91098,91112) = 14

We will now calculate the prime factors of 91098 and 91112, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91098 and 91112.

How to find the GCF of 91098 and 91112?

We will first find the prime factorization of 91098 and 91112. After we will calculate the factors of 91098 and 91112 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 91112

Prime factors of 91112 are 2, 7, 1627. Prime factorization of 91112 in exponential form is:

91112 = 2³ × 7¹ × 1627¹

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 91112

List of positive integer factors of 91112 that divides 91098 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1627, 3254, 6508, 11389, 13016, 22778, 45556

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91098 and 91112. The biggest common factor number is the GCF number.
So the greatest common factor 91098 and 91112 is 14.

Also check out the Least Common Multiple of 91098 and 91112