What is the Greatest Common Factor of 70858 and 70871?

Greatest common factor (GCF) of 70858 and 70871 is 1.

GCF(70858,70871) = 1

We will now calculate the prime factors of 70858 and 70871, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70858 and 70871.

How to find the GCF of 70858 and 70871?

We will first find the prime factorization of 70858 and 70871. After we will calculate the factors of 70858 and 70871 and find the biggest common factor number .

Step-1: Prime Factorization of 70858

Prime factors of 70858 are 2, 71, 499. Prime factorization of 70858 in exponential form is:

70858 = 2¹ × 71¹ × 499¹

Step-2: Prime Factorization of 70871

Prime factors of 70871 are 131, 541. Prime factorization of 70871 in exponential form is:

70871 = 131¹ × 541¹

Step-3: Factors of 70858

List of positive integer factors of 70858 that divides 70858 without a remainder.

1, 2, 71, 142, 499, 998, 35429

Step-4: Factors of 70871

List of positive integer factors of 70871 that divides 70858 without a remainder.

1, 131, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70858 and 70871. The biggest common factor number is the GCF number.
So the greatest common factor 70858 and 70871 is 1.

Also check out the Least Common Multiple of 70858 and 70871