What is the Greatest Common Factor of 99749 and 99760?

Greatest common factor (GCF) of 99749 and 99760 is 1.

GCF(99749,99760) = 1

We will now calculate the prime factors of 99749 and 99760, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99749 and 99760.

How to find the GCF of 99749 and 99760?

We will first find the prime factorization of 99749 and 99760. After we will calculate the factors of 99749 and 99760 and find the biggest common factor number .

Step-1: Prime Factorization of 99749

Prime factors of 99749 are 13, 7673. Prime factorization of 99749 in exponential form is:

99749 = 13¹ × 7673¹

Step-2: 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-3: Factors of 99749

List of positive integer factors of 99749 that divides 99749 without a remainder.

1, 13, 7673

Step-4: Factors of 99760

List of positive integer factors of 99760 that divides 99749 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99749 and 99760. The biggest common factor number is the GCF number.
So the greatest common factor 99749 and 99760 is 1.

Also check out the Least Common Multiple of 99749 and 99760