What is the Greatest Common Factor of 91140 and 91149?

Greatest common factor (GCF) of 91140 and 91149 is 3.

GCF(91140,91149) = 3

We will now calculate the prime factors of 91140 and 91149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91140 and 91149.

How to find the GCF of 91140 and 91149?

We will first find the prime factorization of 91140 and 91149. After we will calculate the factors of 91140 and 91149 and find the biggest common factor number .

Step-1: Prime Factorization of 91140

Prime factors of 91140 are 2, 3, 5, 7, 31. Prime factorization of 91140 in exponential form is:

91140 = 2² × 3¹ × 5¹ × 7² × 31¹

Step-2: Prime Factorization of 91149

Prime factors of 91149 are 3, 23, 1321. Prime factorization of 91149 in exponential form is:

91149 = 3¹ × 23¹ × 1321¹

Step-3: Factors of 91140

List of positive integer factors of 91140 that divides 91140 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 31, 35, 42, 49, 60, 62, 70, 84, 93, 98, 105, 124, 140, 147, 155, 186, 196, 210, 217, 245, 294, 310, 372, 420, 434, 465, 490, 588, 620, 651, 735, 868, 930, 980, 1085, 1302, 1470, 1519, 1860, 2170, 2604, 2940, 3038, 3255, 4340, 4557, 6076, 6510, 7595, 9114, 13020, 15190, 18228, 22785, 30380, 45570

Step-4: Factors of 91149

List of positive integer factors of 91149 that divides 91140 without a remainder.

1, 3, 23, 69, 1321, 3963, 30383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91140 and 91149. The biggest common factor number is the GCF number.
So the greatest common factor 91140 and 91149 is 3.

Also check out the Least Common Multiple of 91140 and 91149