What is the Greatest Common Factor of 99600 and 99610?

Greatest common factor (GCF) of 99600 and 99610 is 10.

GCF(99600,99610) = 10

We will now calculate the prime factors of 99600 and 99610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99600 and 99610.

How to find the GCF of 99600 and 99610?

We will first find the prime factorization of 99600 and 99610. After we will calculate the factors of 99600 and 99610 and find the biggest common factor number .

Step-1: Prime Factorization of 99600

Prime factors of 99600 are 2, 3, 5, 83. Prime factorization of 99600 in exponential form is:

99600 = 2⁴ × 3¹ × 5² × 83¹

Step-2: Prime Factorization of 99610

Prime factors of 99610 are 2, 5, 7, 1423. Prime factorization of 99610 in exponential form is:

99610 = 2¹ × 5¹ × 7¹ × 1423¹

Step-3: Factors of 99600

List of positive integer factors of 99600 that divides 99600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 83, 100, 120, 150, 166, 200, 240, 249, 300, 332, 400, 415, 498, 600, 664, 830, 996, 1200, 1245, 1328, 1660, 1992, 2075, 2490, 3320, 3984, 4150, 4980, 6225, 6640, 8300, 9960, 12450, 16600, 19920, 24900, 33200, 49800

Step-4: Factors of 99610

List of positive integer factors of 99610 that divides 99600 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1423, 2846, 7115, 9961, 14230, 19922, 49805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99600 and 99610. The biggest common factor number is the GCF number.
So the greatest common factor 99600 and 99610 is 10.

Also check out the Least Common Multiple of 99600 and 99610