What is the Greatest Common Factor of 76148 and 76160?

Greatest common factor (GCF) of 76148 and 76160 is 4.

GCF(76148,76160) = 4

We will now calculate the prime factors of 76148 and 76160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76148 and 76160.

How to find the GCF of 76148 and 76160?

We will first find the prime factorization of 76148 and 76160. After we will calculate the factors of 76148 and 76160 and find the biggest common factor number .

Step-1: Prime Factorization of 76148

Prime factors of 76148 are 2, 19037. Prime factorization of 76148 in exponential form is:

76148 = 2² × 19037¹

Step-2: 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-3: Factors of 76148

List of positive integer factors of 76148 that divides 76148 without a remainder.

1, 2, 4, 19037, 38074

Step-4: Factors of 76160

List of positive integer factors of 76160 that divides 76148 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76148 and 76160. The biggest common factor number is the GCF number.
So the greatest common factor 76148 and 76160 is 4.

Also check out the Least Common Multiple of 76148 and 76160