What is the Greatest Common Factor of 99760 and 99769?

Greatest common factor (GCF) of 99760 and 99769 is 1.

GCF(99760,99769) = 1

We will now calculate the prime factors of 99760 and 99769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99760 and 99769.

How to find the GCF of 99760 and 99769?

We will first find the prime factorization of 99760 and 99769. After we will calculate the factors of 99760 and 99769 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 99769

Prime factors of 99769 are 19, 59, 89. Prime factorization of 99769 in exponential form is:

99769 = 19¹ × 59¹ × 89¹

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 99769

List of positive integer factors of 99769 that divides 99760 without a remainder.

1, 19, 59, 89, 1121, 1691, 5251

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99760 and 99769. The biggest common factor number is the GCF number.
So the greatest common factor 99760 and 99769 is 1.

Also check out the Least Common Multiple of 99760 and 99769