What is the Greatest Common Factor of 70832 and 70842?

Greatest common factor (GCF) of 70832 and 70842 is 2.

GCF(70832,70842) = 2

We will now calculate the prime factors of 70832 and 70842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70832 and 70842.

How to find the GCF of 70832 and 70842?

We will first find the prime factorization of 70832 and 70842. After we will calculate the factors of 70832 and 70842 and find the biggest common factor number .

Step-1: Prime Factorization of 70832

Prime factors of 70832 are 2, 19, 233. Prime factorization of 70832 in exponential form is:

70832 = 2⁴ × 19¹ × 233¹

Step-2: 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-3: Factors of 70832

List of positive integer factors of 70832 that divides 70832 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 233, 304, 466, 932, 1864, 3728, 4427, 8854, 17708, 35416

Step-4: Factors of 70842

List of positive integer factors of 70842 that divides 70832 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70832 and 70842. The biggest common factor number is the GCF number.
So the greatest common factor 70832 and 70842 is 2.

Also check out the Least Common Multiple of 70832 and 70842