What is the Greatest Common Factor of 71090 and 71110?

Greatest common factor (GCF) of 71090 and 71110 is 10.

GCF(71090,71110) = 10

We will now calculate the prime factors of 71090 and 71110, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71090 and 71110.

How to find the GCF of 71090 and 71110?

We will first find the prime factorization of 71090 and 71110. After we will calculate the factors of 71090 and 71110 and find the biggest common factor number .

Step-1: Prime Factorization of 71090

Prime factors of 71090 are 2, 5, 7109. Prime factorization of 71090 in exponential form is:

71090 = 2¹ × 5¹ × 7109¹

Step-2: Prime Factorization of 71110

Prime factors of 71110 are 2, 5, 13, 547. Prime factorization of 71110 in exponential form is:

71110 = 2¹ × 5¹ × 13¹ × 547¹

Step-3: Factors of 71090

List of positive integer factors of 71090 that divides 71090 without a remainder.

1, 2, 5, 10, 7109, 14218, 35545

Step-4: Factors of 71110

List of positive integer factors of 71110 that divides 71090 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 547, 1094, 2735, 5470, 7111, 14222, 35555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71090 and 71110. The biggest common factor number is the GCF number.
So the greatest common factor 71090 and 71110 is 10.

Also check out the Least Common Multiple of 71090 and 71110