What is the Greatest Common Factor of 91140 and 91156?

Greatest common factor (GCF) of 91140 and 91156 is 4.

GCF(91140,91156) = 4

We will now calculate the prime factors of 91140 and 91156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91140 and 91156.

How to find the GCF of 91140 and 91156?

We will first find the prime factorization of 91140 and 91156. After we will calculate the factors of 91140 and 91156 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 91156

Prime factors of 91156 are 2, 13, 1753. Prime factorization of 91156 in exponential form is:

91156 = 2² × 13¹ × 1753¹

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 91156

List of positive integer factors of 91156 that divides 91140 without a remainder.

1, 2, 4, 13, 26, 52, 1753, 3506, 7012, 22789, 45578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91140 and 91156. The biggest common factor number is the GCF number.
So the greatest common factor 91140 and 91156 is 4.

Also check out the Least Common Multiple of 91140 and 91156