What is the Greatest Common Factor of 70884 and 70898?

Greatest common factor (GCF) of 70884 and 70898 is 2.

GCF(70884,70898) = 2

We will now calculate the prime factors of 70884 and 70898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 70884 and 70898.

How to find the GCF of 70884 and 70898?

We will first find the prime factorization of 70884 and 70898. After we will calculate the factors of 70884 and 70898 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 70898

Prime factors of 70898 are 2, 35449. Prime factorization of 70898 in exponential form is:

70898 = 2¹ × 35449¹

Step-3: Factors of 70884

List of positive integer factors of 70884 that divides 70884 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

Step-4: Factors of 70898

List of positive integer factors of 70898 that divides 70884 without a remainder.

1, 2, 35449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 70884 and 70898. The biggest common factor number is the GCF number.
So the greatest common factor 70884 and 70898 is 2.

Also check out the Least Common Multiple of 70884 and 70898