What is the Greatest Common Factor of 91128 and 91140?

Greatest common factor (GCF) of 91128 and 91140 is 12.

GCF(91128,91140) = 12

We will now calculate the prime factors of 91128 and 91140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91128 and 91140.

How to find the GCF of 91128 and 91140?

We will first find the prime factorization of 91128 and 91140. After we will calculate the factors of 91128 and 91140 and find the biggest common factor number .

Step-1: Prime Factorization of 91128

Prime factors of 91128 are 2, 3, 3797. Prime factorization of 91128 in exponential form is:

91128 = 2³ × 3¹ × 3797¹

Step-2: 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-3: Factors of 91128

List of positive integer factors of 91128 that divides 91128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3797, 7594, 11391, 15188, 22782, 30376, 45564

Step-4: Factors of 91140

List of positive integer factors of 91140 that divides 91128 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91128 and 91140. The biggest common factor number is the GCF number.
So the greatest common factor 91128 and 91140 is 12.

Also check out the Least Common Multiple of 91128 and 91140