What is the Greatest Common Factor of 86874 and 86888?

Greatest common factor (GCF) of 86874 and 86888 is 2.

GCF(86874,86888) = 2

We will now calculate the prime factors of 86874 and 86888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86874 and 86888.

How to find the GCF of 86874 and 86888?

We will first find the prime factorization of 86874 and 86888. After we will calculate the factors of 86874 and 86888 and find the biggest common factor number .

Step-1: Prime Factorization of 86874

Prime factors of 86874 are 2, 3, 14479. Prime factorization of 86874 in exponential form is:

86874 = 2¹ × 3¹ × 14479¹

Step-2: Prime Factorization of 86888

Prime factors of 86888 are 2, 10861. Prime factorization of 86888 in exponential form is:

86888 = 2³ × 10861¹

Step-3: Factors of 86874

List of positive integer factors of 86874 that divides 86874 without a remainder.

1, 2, 3, 6, 14479, 28958, 43437

Step-4: Factors of 86888

List of positive integer factors of 86888 that divides 86874 without a remainder.

1, 2, 4, 8, 10861, 21722, 43444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86874 and 86888. The biggest common factor number is the GCF number.
So the greatest common factor 86874 and 86888 is 2.

Also check out the Least Common Multiple of 86874 and 86888