What is the Greatest Common Factor of 80654 and 80661?

Greatest common factor (GCF) of 80654 and 80661 is 7.

GCF(80654,80661) = 7

We will now calculate the prime factors of 80654 and 80661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80654 and 80661.

How to find the GCF of 80654 and 80661?

We will first find the prime factorization of 80654 and 80661. After we will calculate the factors of 80654 and 80661 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 80661

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

80661 = 3¹ × 7¹ × 23¹ × 167¹

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 80661

List of positive integer factors of 80661 that divides 80654 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80654 and 80661. The biggest common factor number is the GCF number.
So the greatest common factor 80654 and 80661 is 7.

Also check out the Least Common Multiple of 80654 and 80661