What is the Greatest Common Factor of 76160 and 76174?

Greatest common factor (GCF) of 76160 and 76174 is 14.

GCF(76160,76174) = 14

We will now calculate the prime factors of 76160 and 76174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76160 and 76174.

How to find the GCF of 76160 and 76174?

We will first find the prime factorization of 76160 and 76174. After we will calculate the factors of 76160 and 76174 and find the biggest common factor number .

Step-1: Prime Factorization of 76160

Prime factors of 76160 are 2, 5, 7, 17. Prime factorization of 76160 in exponential form is:

76160 = 2⁷ × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 76174

Prime factors of 76174 are 2, 7, 5441. Prime factorization of 76174 in exponential form is:

76174 = 2¹ × 7¹ × 5441¹

Step-3: Factors of 76160

List of positive integer factors of 76160 that divides 76160 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 28, 32, 34, 35, 40, 56, 64, 68, 70, 80, 85, 112, 119, 128, 136, 140, 160, 170, 224, 238, 272, 280, 320, 340, 448, 476, 544, 560, 595, 640, 680, 896, 952, 1088, 1120, 1190, 1360, 1904, 2176, 2240, 2380, 2720, 3808, 4480, 4760, 5440, 7616, 9520, 10880, 15232, 19040, 38080

Step-4: Factors of 76174

List of positive integer factors of 76174 that divides 76160 without a remainder.

1, 2, 7, 14, 5441, 10882, 38087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76160 and 76174. The biggest common factor number is the GCF number.
So the greatest common factor 76160 and 76174 is 14.

Also check out the Least Common Multiple of 76160 and 76174