What is the Greatest Common Factor of 80668 and 80676?

Greatest common factor (GCF) of 80668 and 80676 is 4.

GCF(80668,80676) = 4

We will now calculate the prime factors of 80668 and 80676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80668 and 80676.

How to find the GCF of 80668 and 80676?

We will first find the prime factorization of 80668 and 80676. After we will calculate the factors of 80668 and 80676 and find the biggest common factor number .

Step-1: Prime Factorization of 80668

Prime factors of 80668 are 2, 7, 43, 67. Prime factorization of 80668 in exponential form is:

80668 = 2² × 7¹ × 43¹ × 67¹

Step-2: Prime Factorization of 80676

Prime factors of 80676 are 2, 3, 83. Prime factorization of 80676 in exponential form is:

80676 = 2² × 3⁵ × 83¹

Step-3: Factors of 80668

List of positive integer factors of 80668 that divides 80668 without a remainder.

1, 2, 4, 7, 14, 28, 43, 67, 86, 134, 172, 268, 301, 469, 602, 938, 1204, 1876, 2881, 5762, 11524, 20167, 40334

Step-4: Factors of 80676

List of positive integer factors of 80676 that divides 80668 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 83, 108, 162, 166, 243, 249, 324, 332, 486, 498, 747, 972, 996, 1494, 2241, 2988, 4482, 6723, 8964, 13446, 20169, 26892, 40338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80668 and 80676. The biggest common factor number is the GCF number.
So the greatest common factor 80668 and 80676 is 4.

Also check out the Least Common Multiple of 80668 and 80676