What is the Greatest Common Factor of 99400 and 99407?

Greatest common factor (GCF) of 99400 and 99407 is 7.

GCF(99400,99407) = 7

We will now calculate the prime factors of 99400 and 99407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99400 and 99407.

How to find the GCF of 99400 and 99407?

We will first find the prime factorization of 99400 and 99407. After we will calculate the factors of 99400 and 99407 and find the biggest common factor number .

Step-1: Prime Factorization of 99400

Prime factors of 99400 are 2, 5, 7, 71. Prime factorization of 99400 in exponential form is:

99400 = 2³ × 5² × 7¹ × 71¹

Step-2: Prime Factorization of 99407

Prime factors of 99407 are 7, 11, 1291. Prime factorization of 99407 in exponential form is:

99407 = 7¹ × 11¹ × 1291¹

Step-3: Factors of 99400

List of positive integer factors of 99400 that divides 99400 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 71, 100, 140, 142, 175, 200, 280, 284, 350, 355, 497, 568, 700, 710, 994, 1400, 1420, 1775, 1988, 2485, 2840, 3550, 3976, 4970, 7100, 9940, 12425, 14200, 19880, 24850, 49700

Step-4: Factors of 99407

List of positive integer factors of 99407 that divides 99400 without a remainder.

1, 7, 11, 77, 1291, 9037, 14201

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99400 and 99407. The biggest common factor number is the GCF number.
So the greatest common factor 99400 and 99407 is 7.

Also check out the Least Common Multiple of 99400 and 99407