What is the Greatest Common Factor of 80661 and 80675?

Greatest common factor (GCF) of 80661 and 80675 is 7.

GCF(80661,80675) = 7

We will now calculate the prime factors of 80661 and 80675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80661 and 80675.

How to find the GCF of 80661 and 80675?

We will first find the prime factorization of 80661 and 80675. After we will calculate the factors of 80661 and 80675 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 80675

Prime factors of 80675 are 5, 7, 461. Prime factorization of 80675 in exponential form is:

80675 = 5² × 7¹ × 461¹

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 80675

List of positive integer factors of 80675 that divides 80661 without a remainder.

1, 5, 7, 25, 35, 175, 461, 2305, 3227, 11525, 16135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80661 and 80675. The biggest common factor number is the GCF number.
So the greatest common factor 80661 and 80675 is 7.

Also check out the Least Common Multiple of 80661 and 80675