What is the Greatest Common Factor of 88072 and 88092?

Greatest common factor (GCF) of 88072 and 88092 is 4.

GCF(88072,88092) = 4

We will now calculate the prime factors of 88072 and 88092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88072 and 88092.

How to find the GCF of 88072 and 88092?

We will first find the prime factorization of 88072 and 88092. After we will calculate the factors of 88072 and 88092 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 88092

Prime factors of 88092 are 2, 3, 2447. Prime factorization of 88092 in exponential form is:

88092 = 2² × 3² × 2447¹

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 88092

List of positive integer factors of 88092 that divides 88072 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2447, 4894, 7341, 9788, 14682, 22023, 29364, 44046

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88072 and 88092. The biggest common factor number is the GCF number.
So the greatest common factor 88072 and 88092 is 4.

Also check out the Least Common Multiple of 88072 and 88092