What is the Greatest Common Factor of 35160 and 35175?

Greatest common factor (GCF) of 35160 and 35175 is 15.

GCF(35160,35175) = 15

We will now calculate the prime factors of 35160 and 35175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35160 and 35175.

How to find the GCF of 35160 and 35175?

We will first find the prime factorization of 35160 and 35175. After we will calculate the factors of 35160 and 35175 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 35175

Prime factors of 35175 are 3, 5, 7, 67. Prime factorization of 35175 in exponential form is:

35175 = 3¹ × 5² × 7¹ × 67¹

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 35175

List of positive integer factors of 35175 that divides 35160 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 67, 75, 105, 175, 201, 335, 469, 525, 1005, 1407, 1675, 2345, 5025, 7035, 11725

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35160 and 35175. The biggest common factor number is the GCF number.
So the greatest common factor 35160 and 35175 is 15.

Also check out the Least Common Multiple of 35160 and 35175