What is the Greatest Common Factor of 88072 and 88078?

Greatest common factor (GCF) of 88072 and 88078 is 2.

GCF(88072,88078) = 2

We will now calculate the prime factors of 88072 and 88078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88072 and 88078.

How to find the GCF of 88072 and 88078?

We will first find the prime factorization of 88072 and 88078. After we will calculate the factors of 88072 and 88078 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 88078

Prime factors of 88078 are 2, 47, 937. Prime factorization of 88078 in exponential form is:

88078 = 2¹ × 47¹ × 937¹

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 88078

List of positive integer factors of 88078 that divides 88072 without a remainder.

1, 2, 47, 94, 937, 1874, 44039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88072 and 88078. The biggest common factor number is the GCF number.
So the greatest common factor 88072 and 88078 is 2.

Also check out the Least Common Multiple of 88072 and 88078