What is the Greatest Common Factor of 99760 and 99767?

Greatest common factor (GCF) of 99760 and 99767 is 1.

GCF(99760,99767) = 1

We will now calculate the prime factors of 99760 and 99767, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99760 and 99767.

How to find the GCF of 99760 and 99767?

We will first find the prime factorization of 99760 and 99767. After we will calculate the factors of 99760 and 99767 and find the biggest common factor number .

Step-1: Prime Factorization of 99760

Prime factors of 99760 are 2, 5, 29, 43. Prime factorization of 99760 in exponential form is:

99760 = 2⁴ × 5¹ × 29¹ × 43¹

Step-2: Prime Factorization of 99767

Prime factors of 99767 are 99767. Prime factorization of 99767 in exponential form is:

99767 = 99767¹

Step-3: Factors of 99760

List of positive integer factors of 99760 that divides 99760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 43, 58, 80, 86, 116, 145, 172, 215, 232, 290, 344, 430, 464, 580, 688, 860, 1160, 1247, 1720, 2320, 2494, 3440, 4988, 6235, 9976, 12470, 19952, 24940, 49880

Step-4: Factors of 99767

List of positive integer factors of 99767 that divides 99760 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99760 and 99767. The biggest common factor number is the GCF number.
So the greatest common factor 99760 and 99767 is 1.

Also check out the Least Common Multiple of 99760 and 99767