What is the Greatest Common Factor of 80661 and 80668?

Greatest common factor (GCF) of 80661 and 80668 is 7.

GCF(80661,80668) = 7

We will now calculate the prime factors of 80661 and 80668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80661 and 80668.

How to find the GCF of 80661 and 80668?

We will first find the prime factorization of 80661 and 80668. After we will calculate the factors of 80661 and 80668 and find the biggest common factor number .

Step-1: Prime Factorization of 80661

Prime factors of 80661 are 3, 7, 23, 167. Prime factorization of 80661 in exponential form is:

80661 = 3¹ × 7¹ × 23¹ × 167¹

Step-2: 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-3: Factors of 80661

List of positive integer factors of 80661 that divides 80661 without a remainder.

1, 3, 7, 21, 23, 69, 161, 167, 483, 501, 1169, 3507, 3841, 11523, 26887

Step-4: Factors of 80668

List of positive integer factors of 80668 that divides 80661 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80661 and 80668. The biggest common factor number is the GCF number.
So the greatest common factor 80661 and 80668 is 7.

Also check out the Least Common Multiple of 80661 and 80668