What is the Greatest Common Factor of 70872 and 70886?

Greatest common factor (GCF) of 70872 and 70886 is 2.

GCF(70872,70886) = 2

We will now calculate the prime factors of 70872 and 70886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70872 and 70886.

How to find the GCF of 70872 and 70886?

We will first find the prime factorization of 70872 and 70886. After we will calculate the factors of 70872 and 70886 and find the biggest common factor number .

Step-1: Prime Factorization of 70872

Prime factors of 70872 are 2, 3, 2953. Prime factorization of 70872 in exponential form is:

70872 = 2³ × 3¹ × 2953¹

Step-2: Prime Factorization of 70886

Prime factors of 70886 are 2, 23, 67. Prime factorization of 70886 in exponential form is:

70886 = 2¹ × 23² × 67¹

Step-3: Factors of 70872

List of positive integer factors of 70872 that divides 70872 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2953, 5906, 8859, 11812, 17718, 23624, 35436

Step-4: Factors of 70886

List of positive integer factors of 70886 that divides 70872 without a remainder.

1, 2, 23, 46, 67, 134, 529, 1058, 1541, 3082, 35443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70872 and 70886. The biggest common factor number is the GCF number.
So the greatest common factor 70872 and 70886 is 2.

Also check out the Least Common Multiple of 70872 and 70886