What is the Greatest Common Factor of 76149 and 76160?

Greatest common factor (GCF) of 76149 and 76160 is 1.

GCF(76149,76160) = 1

We will now calculate the prime factors of 76149 and 76160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76149 and 76160.

How to find the GCF of 76149 and 76160?

We will first find the prime factorization of 76149 and 76160. After we will calculate the factors of 76149 and 76160 and find the biggest common factor number .

Step-1: Prime Factorization of 76149

Prime factors of 76149 are 3, 8461. Prime factorization of 76149 in exponential form is:

76149 = 3² × 8461¹

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 76149

List of positive integer factors of 76149 that divides 76149 without a remainder.

1, 3, 9, 8461, 25383

Step-4: Factors of 76160

List of positive integer factors of 76160 that divides 76149 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 76149 and 76160. The biggest common factor number is the GCF number.
So the greatest common factor 76149 and 76160 is 1.

Also check out the Least Common Multiple of 76149 and 76160