What is the Greatest Common Factor of 99428 and 99440?

Greatest common factor (GCF) of 99428 and 99440 is 4.

GCF(99428,99440) = 4

We will now calculate the prime factors of 99428 and 99440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99428 and 99440.

How to find the GCF of 99428 and 99440?

We will first find the prime factorization of 99428 and 99440. After we will calculate the factors of 99428 and 99440 and find the biggest common factor number .

Step-1: Prime Factorization of 99428

Prime factors of 99428 are 2, 7, 53, 67. Prime factorization of 99428 in exponential form is:

99428 = 2² × 7¹ × 53¹ × 67¹

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 99428

List of positive integer factors of 99428 that divides 99428 without a remainder.

1, 2, 4, 7, 14, 28, 53, 67, 106, 134, 212, 268, 371, 469, 742, 938, 1484, 1876, 3551, 7102, 14204, 24857, 49714

Step-4: Factors of 99440

List of positive integer factors of 99440 that divides 99428 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 99428 and 99440. The biggest common factor number is the GCF number.
So the greatest common factor 99428 and 99440 is 4.

Also check out the Least Common Multiple of 99428 and 99440