What is the Greatest Common Factor of 80705 and 80710?

Greatest common factor (GCF) of 80705 and 80710 is 5.

GCF(80705,80710) = 5

We will now calculate the prime factors of 80705 and 80710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80705 and 80710.

How to find the GCF of 80705 and 80710?

We will first find the prime factorization of 80705 and 80710. After we will calculate the factors of 80705 and 80710 and find the biggest common factor number .

Step-1: Prime Factorization of 80705

Prime factors of 80705 are 5, 16141. Prime factorization of 80705 in exponential form is:

80705 = 5¹ × 16141¹

Step-2: Prime Factorization of 80710

Prime factors of 80710 are 2, 5, 7, 1153. Prime factorization of 80710 in exponential form is:

80710 = 2¹ × 5¹ × 7¹ × 1153¹

Step-3: Factors of 80705

List of positive integer factors of 80705 that divides 80705 without a remainder.

1, 5, 16141

Step-4: Factors of 80710

List of positive integer factors of 80710 that divides 80705 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1153, 2306, 5765, 8071, 11530, 16142, 40355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80705 and 80710. The biggest common factor number is the GCF number.
So the greatest common factor 80705 and 80710 is 5.

Also check out the Least Common Multiple of 80705 and 80710