What is the Greatest Common Factor of 70842 and 70858?

Greatest common factor (GCF) of 70842 and 70858 is 2.

GCF(70842,70858) = 2

We will now calculate the prime factors of 70842 and 70858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70842 and 70858.

How to find the GCF of 70842 and 70858?

We will first find the prime factorization of 70842 and 70858. After we will calculate the factors of 70842 and 70858 and find the biggest common factor number .

Step-1: Prime Factorization of 70842

Prime factors of 70842 are 2, 3, 11807. Prime factorization of 70842 in exponential form is:

70842 = 2¹ × 3¹ × 11807¹

Step-2: 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-3: Factors of 70842

List of positive integer factors of 70842 that divides 70842 without a remainder.

1, 2, 3, 6, 11807, 23614, 35421

Step-4: Factors of 70858

List of positive integer factors of 70858 that divides 70842 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70842 and 70858. The biggest common factor number is the GCF number.
So the greatest common factor 70842 and 70858 is 2.

Also check out the Least Common Multiple of 70842 and 70858