What is the Greatest Common Factor of 35160 and 35164?

Greatest common factor (GCF) of 35160 and 35164 is 4.

GCF(35160,35164) = 4

We will now calculate the prime factors of 35160 and 35164, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35160 and 35164.

How to find the GCF of 35160 and 35164?

We will first find the prime factorization of 35160 and 35164. After we will calculate the factors of 35160 and 35164 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 35164

Prime factors of 35164 are 2, 59, 149. Prime factorization of 35164 in exponential form is:

35164 = 2² × 59¹ × 149¹

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 35164

List of positive integer factors of 35164 that divides 35160 without a remainder.

1, 2, 4, 59, 118, 149, 236, 298, 596, 8791, 17582

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35160 and 35164. The biggest common factor number is the GCF number.
So the greatest common factor 35160 and 35164 is 4.

Also check out the Least Common Multiple of 35160 and 35164