What is the Greatest Common Factor of 80648 and 80661?

Greatest common factor (GCF) of 80648 and 80661 is 1.

GCF(80648,80661) = 1

We will now calculate the prime factors of 80648 and 80661, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80648 and 80661.

How to find the GCF of 80648 and 80661?

We will first find the prime factorization of 80648 and 80661. After we will calculate the factors of 80648 and 80661 and find the biggest common factor number .

Step-1: Prime Factorization of 80648

Prime factors of 80648 are 2, 17, 593. Prime factorization of 80648 in exponential form is:

80648 = 2³ × 17¹ × 593¹

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 80648

List of positive integer factors of 80648 that divides 80648 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 593, 1186, 2372, 4744, 10081, 20162, 40324

Step-4: Factors of 80661

List of positive integer factors of 80661 that divides 80648 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 80648 and 80661. The biggest common factor number is the GCF number.
So the greatest common factor 80648 and 80661 is 1.

Also check out the Least Common Multiple of 80648 and 80661