What is the Greatest Common Factor of 74160 and 74168?

Greatest common factor (GCF) of 74160 and 74168 is 8.

GCF(74160,74168) = 8

We will now calculate the prime factors of 74160 and 74168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74160 and 74168.

How to find the GCF of 74160 and 74168?

We will first find the prime factorization of 74160 and 74168. After we will calculate the factors of 74160 and 74168 and find the biggest common factor number .

Step-1: Prime Factorization of 74160

Prime factors of 74160 are 2, 3, 5, 103. Prime factorization of 74160 in exponential form is:

74160 = 2⁴ × 3² × 5¹ × 103¹

Step-2: Prime Factorization of 74168

Prime factors of 74168 are 2, 73, 127. Prime factorization of 74168 in exponential form is:

74168 = 2³ × 73¹ × 127¹

Step-3: Factors of 74160

List of positive integer factors of 74160 that divides 74160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 103, 120, 144, 180, 206, 240, 309, 360, 412, 515, 618, 720, 824, 927, 1030, 1236, 1545, 1648, 1854, 2060, 2472, 3090, 3708, 4120, 4635, 4944, 6180, 7416, 8240, 9270, 12360, 14832, 18540, 24720, 37080

Step-4: Factors of 74168

List of positive integer factors of 74168 that divides 74160 without a remainder.

1, 2, 4, 8, 73, 127, 146, 254, 292, 508, 584, 1016, 9271, 18542, 37084

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74160 and 74168. The biggest common factor number is the GCF number.
So the greatest common factor 74160 and 74168 is 8.

Also check out the Least Common Multiple of 74160 and 74168