What is the Greatest Common Factor of 99040 and 99045?

Greatest common factor (GCF) of 99040 and 99045 is 5.

GCF(99040,99045) = 5

We will now calculate the prime factors of 99040 and 99045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99040 and 99045.

How to find the GCF of 99040 and 99045?

We will first find the prime factorization of 99040 and 99045. After we will calculate the factors of 99040 and 99045 and find the biggest common factor number .

Step-1: Prime Factorization of 99040

Prime factors of 99040 are 2, 5, 619. Prime factorization of 99040 in exponential form is:

99040 = 2⁵ × 5¹ × 619¹

Step-2: Prime Factorization of 99045

Prime factors of 99045 are 3, 5, 31, 71. Prime factorization of 99045 in exponential form is:

99045 = 3² × 5¹ × 31¹ × 71¹

Step-3: Factors of 99040

List of positive integer factors of 99040 that divides 99040 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 619, 1238, 2476, 3095, 4952, 6190, 9904, 12380, 19808, 24760, 49520

Step-4: Factors of 99045

List of positive integer factors of 99045 that divides 99040 without a remainder.

1, 3, 5, 9, 15, 31, 45, 71, 93, 155, 213, 279, 355, 465, 639, 1065, 1395, 2201, 3195, 6603, 11005, 19809, 33015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99040 and 99045. The biggest common factor number is the GCF number.
So the greatest common factor 99040 and 99045 is 5.

Also check out the Least Common Multiple of 99040 and 99045