What is the Greatest Common Factor of 80654 and 80668?

Greatest common factor (GCF) of 80654 and 80668 is 14.

GCF(80654,80668) = 14

We will now calculate the prime factors of 80654 and 80668, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80654 and 80668.

How to find the GCF of 80654 and 80668?

We will first find the prime factorization of 80654 and 80668. After we will calculate the factors of 80654 and 80668 and find the biggest common factor number .

Step-1: Prime Factorization of 80654

Prime factors of 80654 are 2, 7, 823. Prime factorization of 80654 in exponential form is:

80654 = 2¹ × 7² × 823¹

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 80654

List of positive integer factors of 80654 that divides 80654 without a remainder.

1, 2, 7, 14, 49, 98, 823, 1646, 5761, 11522, 40327

Step-4: Factors of 80668

List of positive integer factors of 80668 that divides 80654 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 80654 and 80668. The biggest common factor number is the GCF number.
So the greatest common factor 80654 and 80668 is 14.

Also check out the Least Common Multiple of 80654 and 80668