What is the Greatest Common Factor of 80605 and 80619?

Greatest common factor (GCF) of 80605 and 80619 is 7.

GCF(80605,80619) = 7

We will now calculate the prime factors of 80605 and 80619, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80605 and 80619.

How to find the GCF of 80605 and 80619?

We will first find the prime factorization of 80605 and 80619. After we will calculate the factors of 80605 and 80619 and find the biggest common factor number .

Step-1: Prime Factorization of 80605

Prime factors of 80605 are 5, 7, 47. Prime factorization of 80605 in exponential form is:

80605 = 5¹ × 7³ × 47¹

Step-2: Prime Factorization of 80619

Prime factors of 80619 are 3, 7, 11, 349. Prime factorization of 80619 in exponential form is:

80619 = 3¹ × 7¹ × 11¹ × 349¹

Step-3: Factors of 80605

List of positive integer factors of 80605 that divides 80605 without a remainder.

1, 5, 7, 35, 47, 49, 235, 245, 329, 343, 1645, 1715, 2303, 11515, 16121

Step-4: Factors of 80619

List of positive integer factors of 80619 that divides 80605 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 349, 1047, 2443, 3839, 7329, 11517, 26873

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80605 and 80619. The biggest common factor number is the GCF number.
So the greatest common factor 80605 and 80619 is 7.

Also check out the Least Common Multiple of 80605 and 80619