What is the Greatest Common Factor of 91140 and 91144?

Greatest common factor (GCF) of 91140 and 91144 is 4.

GCF(91140,91144) = 4

We will now calculate the prime factors of 91140 and 91144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91140 and 91144.

How to find the GCF of 91140 and 91144?

We will first find the prime factorization of 91140 and 91144. After we will calculate the factors of 91140 and 91144 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 91144

Prime factors of 91144 are 2, 11393. Prime factorization of 91144 in exponential form is:

91144 = 2³ × 11393¹

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 91144

List of positive integer factors of 91144 that divides 91140 without a remainder.

1, 2, 4, 8, 11393, 22786, 45572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91140 and 91144. The biggest common factor number is the GCF number.
So the greatest common factor 91140 and 91144 is 4.

Also check out the Least Common Multiple of 91140 and 91144