What is the Greatest Common Factor of 76160 and 76172?

Greatest common factor (GCF) of 76160 and 76172 is 4.

GCF(76160,76172) = 4

We will now calculate the prime factors of 76160 and 76172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76160 and 76172.

How to find the GCF of 76160 and 76172?

We will first find the prime factorization of 76160 and 76172. After we will calculate the factors of 76160 and 76172 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 76172

Prime factors of 76172 are 2, 137, 139. Prime factorization of 76172 in exponential form is:

76172 = 2² × 137¹ × 139¹

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 76172

List of positive integer factors of 76172 that divides 76160 without a remainder.

1, 2, 4, 137, 139, 274, 278, 548, 556, 19043, 38086

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76160 and 76172. The biggest common factor number is the GCF number.
So the greatest common factor 76160 and 76172 is 4.

Also check out the Least Common Multiple of 76160 and 76172