What is the Greatest Common Factor of 88072 and 88086?

Greatest common factor (GCF) of 88072 and 88086 is 2.

GCF(88072,88086) = 2

We will now calculate the prime factors of 88072 and 88086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88072 and 88086.

How to find the GCF of 88072 and 88086?

We will first find the prime factorization of 88072 and 88086. After we will calculate the factors of 88072 and 88086 and find the biggest common factor number .

Step-1: Prime Factorization of 88072

Prime factors of 88072 are 2, 101, 109. Prime factorization of 88072 in exponential form is:

88072 = 2³ × 101¹ × 109¹

Step-2: Prime Factorization of 88086

Prime factors of 88086 are 2, 3, 53, 277. Prime factorization of 88086 in exponential form is:

88086 = 2¹ × 3¹ × 53¹ × 277¹

Step-3: Factors of 88072

List of positive integer factors of 88072 that divides 88072 without a remainder.

1, 2, 4, 8, 101, 109, 202, 218, 404, 436, 808, 872, 11009, 22018, 44036

Step-4: Factors of 88086

List of positive integer factors of 88086 that divides 88072 without a remainder.

1, 2, 3, 6, 53, 106, 159, 277, 318, 554, 831, 1662, 14681, 29362, 44043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88072 and 88086. The biggest common factor number is the GCF number.
So the greatest common factor 88072 and 88086 is 2.

Also check out the Least Common Multiple of 88072 and 88086