What is the Greatest Common Factor of 76160 and 76175?

Greatest common factor (GCF) of 76160 and 76175 is 5.

GCF(76160,76175) = 5

We will now calculate the prime factors of 76160 and 76175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76160 and 76175.

How to find the GCF of 76160 and 76175?

We will first find the prime factorization of 76160 and 76175. After we will calculate the factors of 76160 and 76175 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 76175

Prime factors of 76175 are 5, 11, 277. Prime factorization of 76175 in exponential form is:

76175 = 5² × 11¹ × 277¹

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 76175

List of positive integer factors of 76175 that divides 76160 without a remainder.

1, 5, 11, 25, 55, 275, 277, 1385, 3047, 6925, 15235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76160 and 76175. The biggest common factor number is the GCF number.
So the greatest common factor 76160 and 76175 is 5.

Also check out the Least Common Multiple of 76160 and 76175