What is the Greatest Common Factor of 35160 and 35176?

Greatest common factor (GCF) of 35160 and 35176 is 8.

GCF(35160,35176) = 8

We will now calculate the prime factors of 35160 and 35176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35160 and 35176.

How to find the GCF of 35160 and 35176?

We will first find the prime factorization of 35160 and 35176. After we will calculate the factors of 35160 and 35176 and find the biggest common factor number .

Step-1: Prime Factorization of 35160

Prime factors of 35160 are 2, 3, 5, 293. Prime factorization of 35160 in exponential form is:

35160 = 2³ × 3¹ × 5¹ × 293¹

Step-2: Prime Factorization of 35176

Prime factors of 35176 are 2, 4397. Prime factorization of 35176 in exponential form is:

35176 = 2³ × 4397¹

Step-3: Factors of 35160

List of positive integer factors of 35160 that divides 35160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 293, 586, 879, 1172, 1465, 1758, 2344, 2930, 3516, 4395, 5860, 7032, 8790, 11720, 17580

Step-4: Factors of 35176

List of positive integer factors of 35176 that divides 35160 without a remainder.

1, 2, 4, 8, 4397, 8794, 17588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35160 and 35176. The biggest common factor number is the GCF number.
So the greatest common factor 35160 and 35176 is 8.

Also check out the Least Common Multiple of 35160 and 35176