What is the Greatest Common Factor of 99673 and 99680?

Greatest common factor (GCF) of 99673 and 99680 is 7.

GCF(99673,99680) = 7

We will now calculate the prime factors of 99673 and 99680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99673 and 99680.

How to find the GCF of 99673 and 99680?

We will first find the prime factorization of 99673 and 99680. After we will calculate the factors of 99673 and 99680 and find the biggest common factor number .

Step-1: Prime Factorization of 99673

Prime factors of 99673 are 7, 29, 491. Prime factorization of 99673 in exponential form is:

99673 = 7¹ × 29¹ × 491¹

Step-2: Prime Factorization of 99680

Prime factors of 99680 are 2, 5, 7, 89. Prime factorization of 99680 in exponential form is:

99680 = 2⁵ × 5¹ × 7¹ × 89¹

Step-3: Factors of 99673

List of positive integer factors of 99673 that divides 99673 without a remainder.

1, 7, 29, 203, 491, 3437, 14239

Step-4: Factors of 99680

List of positive integer factors of 99680 that divides 99673 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 89, 112, 140, 160, 178, 224, 280, 356, 445, 560, 623, 712, 890, 1120, 1246, 1424, 1780, 2492, 2848, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 14240, 19936, 24920, 49840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99673 and 99680. The biggest common factor number is the GCF number.
So the greatest common factor 99673 and 99680 is 7.

Also check out the Least Common Multiple of 99673 and 99680