What is the Greatest Common Factor of 70872 and 70884?

Greatest common factor (GCF) of 70872 and 70884 is 12.

GCF(70872,70884) = 12

We will now calculate the prime factors of 70872 and 70884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70872 and 70884.

How to find the GCF of 70872 and 70884?

We will first find the prime factorization of 70872 and 70884. After we will calculate the factors of 70872 and 70884 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 70884

Prime factors of 70884 are 2, 3, 11, 179. Prime factorization of 70884 in exponential form is:

70884 = 2² × 3² × 11¹ × 179¹

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 70884

List of positive integer factors of 70884 that divides 70872 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 179, 198, 358, 396, 537, 716, 1074, 1611, 1969, 2148, 3222, 3938, 5907, 6444, 7876, 11814, 17721, 23628, 35442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70872 and 70884. The biggest common factor number is the GCF number.
So the greatest common factor 70872 and 70884 is 12.

Also check out the Least Common Multiple of 70872 and 70884