What is the Greatest Common Factor of 99028 and 99040?

Greatest common factor (GCF) of 99028 and 99040 is 4.

GCF(99028,99040) = 4

We will now calculate the prime factors of 99028 and 99040, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99028 and 99040.

How to find the GCF of 99028 and 99040?

We will first find the prime factorization of 99028 and 99040. After we will calculate the factors of 99028 and 99040 and find the biggest common factor number .

Step-1: Prime Factorization of 99028

Prime factors of 99028 are 2, 19, 1303. Prime factorization of 99028 in exponential form is:

99028 = 2² × 19¹ × 1303¹

Step-2: 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-3: Factors of 99028

List of positive integer factors of 99028 that divides 99028 without a remainder.

1, 2, 4, 19, 38, 76, 1303, 2606, 5212, 24757, 49514

Step-4: Factors of 99040

List of positive integer factors of 99040 that divides 99028 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99028 and 99040. The biggest common factor number is the GCF number.
So the greatest common factor 99028 and 99040 is 4.

Also check out the Least Common Multiple of 99028 and 99040