What is the Greatest Common Factor of 71065 and 71080?

Greatest common factor (GCF) of 71065 and 71080 is 5.

GCF(71065,71080) = 5

We will now calculate the prime factors of 71065 and 71080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71065 and 71080.

How to find the GCF of 71065 and 71080?

We will first find the prime factorization of 71065 and 71080. After we will calculate the factors of 71065 and 71080 and find the biggest common factor number .

Step-1: Prime Factorization of 71065

Prime factors of 71065 are 5, 61, 233. Prime factorization of 71065 in exponential form is:

71065 = 5¹ × 61¹ × 233¹

Step-2: Prime Factorization of 71080

Prime factors of 71080 are 2, 5, 1777. Prime factorization of 71080 in exponential form is:

71080 = 2³ × 5¹ × 1777¹

Step-3: Factors of 71065

List of positive integer factors of 71065 that divides 71065 without a remainder.

1, 5, 61, 233, 305, 1165, 14213

Step-4: Factors of 71080

List of positive integer factors of 71080 that divides 71065 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1777, 3554, 7108, 8885, 14216, 17770, 35540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71065 and 71080. The biggest common factor number is the GCF number.
So the greatest common factor 71065 and 71080 is 5.

Also check out the Least Common Multiple of 71065 and 71080