What is the Greatest Common Factor of 91140 and 91150?

Greatest common factor (GCF) of 91140 and 91150 is 10.

GCF(91140,91150) = 10

We will now calculate the prime factors of 91140 and 91150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91140 and 91150.

How to find the GCF of 91140 and 91150?

We will first find the prime factorization of 91140 and 91150. After we will calculate the factors of 91140 and 91150 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 91150

Prime factors of 91150 are 2, 5, 1823. Prime factorization of 91150 in exponential form is:

91150 = 2¹ × 5² × 1823¹

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 91150

List of positive integer factors of 91150 that divides 91140 without a remainder.

1, 2, 5, 10, 25, 50, 1823, 3646, 9115, 18230, 45575

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91140 and 91150. The biggest common factor number is the GCF number.
So the greatest common factor 91140 and 91150 is 10.

Also check out the Least Common Multiple of 91140 and 91150