What is the Greatest Common Factor of 76705 and 76720?

Greatest common factor (GCF) of 76705 and 76720 is 5.

GCF(76705,76720) = 5

We will now calculate the prime factors of 76705 and 76720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76705 and 76720.

How to find the GCF of 76705 and 76720?

We will first find the prime factorization of 76705 and 76720. After we will calculate the factors of 76705 and 76720 and find the biggest common factor number .

Step-1: Prime Factorization of 76705

Prime factors of 76705 are 5, 23, 29. Prime factorization of 76705 in exponential form is:

76705 = 5¹ × 23² × 29¹

Step-2: Prime Factorization of 76720

Prime factors of 76720 are 2, 5, 7, 137. Prime factorization of 76720 in exponential form is:

76720 = 2⁴ × 5¹ × 7¹ × 137¹

Step-3: Factors of 76705

List of positive integer factors of 76705 that divides 76705 without a remainder.

1, 5, 23, 29, 115, 145, 529, 667, 2645, 3335, 15341

Step-4: Factors of 76720

List of positive integer factors of 76720 that divides 76705 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 137, 140, 274, 280, 548, 560, 685, 959, 1096, 1370, 1918, 2192, 2740, 3836, 4795, 5480, 7672, 9590, 10960, 15344, 19180, 38360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76705 and 76720. The biggest common factor number is the GCF number.
So the greatest common factor 76705 and 76720 is 5.

Also check out the Least Common Multiple of 76705 and 76720