What is the Greatest Common Factor of 88874 and 88888?

Greatest common factor (GCF) of 88874 and 88888 is 2.

GCF(88874,88888) = 2

We will now calculate the prime factors of 88874 and 88888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88874 and 88888.

How to find the GCF of 88874 and 88888?

We will first find the prime factorization of 88874 and 88888. After we will calculate the factors of 88874 and 88888 and find the biggest common factor number .

Step-1: Prime Factorization of 88874

Prime factors of 88874 are 2, 37, 1201. Prime factorization of 88874 in exponential form is:

88874 = 2¹ × 37¹ × 1201¹

Step-2: Prime Factorization of 88888

Prime factors of 88888 are 2, 41, 271. Prime factorization of 88888 in exponential form is:

88888 = 2³ × 41¹ × 271¹

Step-3: Factors of 88874

List of positive integer factors of 88874 that divides 88874 without a remainder.

1, 2, 37, 74, 1201, 2402, 44437

Step-4: Factors of 88888

List of positive integer factors of 88888 that divides 88874 without a remainder.

1, 2, 4, 8, 41, 82, 164, 271, 328, 542, 1084, 2168, 11111, 22222, 44444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88874 and 88888. The biggest common factor number is the GCF number.
So the greatest common factor 88874 and 88888 is 2.

Also check out the Least Common Multiple of 88874 and 88888