What is the Greatest Common Factor of 91140 and 91152?

Greatest common factor (GCF) of 91140 and 91152 is 12.

GCF(91140,91152) = 12

We will now calculate the prime factors of 91140 and 91152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91140 and 91152.

How to find the GCF of 91140 and 91152?

We will first find the prime factorization of 91140 and 91152. After we will calculate the factors of 91140 and 91152 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 91152

Prime factors of 91152 are 2, 3, 211. Prime factorization of 91152 in exponential form is:

91152 = 2⁴ × 3³ × 211¹

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 91152

List of positive integer factors of 91152 that divides 91140 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 211, 216, 422, 432, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 5697, 7596, 10128, 11394, 15192, 22788, 30384, 45576

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91140 and 91152. The biggest common factor number is the GCF number.
So the greatest common factor 91140 and 91152 is 12.

Also check out the Least Common Multiple of 91140 and 91152