What is the Greatest Common Factor of 80696 and 80700?

Greatest common factor (GCF) of 80696 and 80700 is 4.

GCF(80696,80700) = 4

We will now calculate the prime factors of 80696 and 80700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80696 and 80700.

How to find the GCF of 80696 and 80700?

We will first find the prime factorization of 80696 and 80700. After we will calculate the factors of 80696 and 80700 and find the biggest common factor number .

Step-1: Prime Factorization of 80696

Prime factors of 80696 are 2, 7, 11, 131. Prime factorization of 80696 in exponential form is:

80696 = 2³ × 7¹ × 11¹ × 131¹

Step-2: Prime Factorization of 80700

Prime factors of 80700 are 2, 3, 5, 269. Prime factorization of 80700 in exponential form is:

80700 = 2² × 3¹ × 5² × 269¹

Step-3: Factors of 80696

List of positive integer factors of 80696 that divides 80696 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 131, 154, 262, 308, 524, 616, 917, 1048, 1441, 1834, 2882, 3668, 5764, 7336, 10087, 11528, 20174, 40348

Step-4: Factors of 80700

List of positive integer factors of 80700 that divides 80696 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 269, 300, 538, 807, 1076, 1345, 1614, 2690, 3228, 4035, 5380, 6725, 8070, 13450, 16140, 20175, 26900, 40350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80696 and 80700. The biggest common factor number is the GCF number.
So the greatest common factor 80696 and 80700 is 4.

Also check out the Least Common Multiple of 80696 and 80700