What is the Greatest Common Factor of 88072 and 88085?

Greatest common factor (GCF) of 88072 and 88085 is 1.

GCF(88072,88085) = 1

We will now calculate the prime factors of 88072 and 88085, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88072 and 88085.

How to find the GCF of 88072 and 88085?

We will first find the prime factorization of 88072 and 88085. After we will calculate the factors of 88072 and 88085 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 88085

Prime factors of 88085 are 5, 79, 223. Prime factorization of 88085 in exponential form is:

88085 = 5¹ × 79¹ × 223¹

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 88085

List of positive integer factors of 88085 that divides 88072 without a remainder.

1, 5, 79, 223, 395, 1115, 17617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88072 and 88085. The biggest common factor number is the GCF number.
So the greatest common factor 88072 and 88085 is 1.

Also check out the Least Common Multiple of 88072 and 88085