What is the Greatest Common Factor of 99430 and 99440?

Greatest common factor (GCF) of 99430 and 99440 is 10.

GCF(99430,99440) = 10

We will now calculate the prime factors of 99430 and 99440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99430 and 99440.

How to find the GCF of 99430 and 99440?

We will first find the prime factorization of 99430 and 99440. After we will calculate the factors of 99430 and 99440 and find the biggest common factor number .

Step-1: Prime Factorization of 99430

Prime factors of 99430 are 2, 5, 61, 163. Prime factorization of 99430 in exponential form is:

99430 = 2¹ × 5¹ × 61¹ × 163¹

Step-2: Prime Factorization of 99440

Prime factors of 99440 are 2, 5, 11, 113. Prime factorization of 99440 in exponential form is:

99440 = 2⁴ × 5¹ × 11¹ × 113¹

Step-3: Factors of 99430

List of positive integer factors of 99430 that divides 99430 without a remainder.

1, 2, 5, 10, 61, 122, 163, 305, 326, 610, 815, 1630, 9943, 19886, 49715

Step-4: Factors of 99440

List of positive integer factors of 99440 that divides 99430 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 113, 176, 220, 226, 440, 452, 565, 880, 904, 1130, 1243, 1808, 2260, 2486, 4520, 4972, 6215, 9040, 9944, 12430, 19888, 24860, 49720

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99430 and 99440. The biggest common factor number is the GCF number.
So the greatest common factor 99430 and 99440 is 10.

Also check out the Least Common Multiple of 99430 and 99440