What is the Greatest Common Factor of 87072 and 87088?

Greatest common factor (GCF) of 87072 and 87088 is 16.

GCF(87072,87088) = 16

We will now calculate the prime factors of 87072 and 87088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87072 and 87088.

How to find the GCF of 87072 and 87088?

We will first find the prime factorization of 87072 and 87088. After we will calculate the factors of 87072 and 87088 and find the biggest common factor number .

Step-1: Prime Factorization of 87072

Prime factors of 87072 are 2, 3, 907. Prime factorization of 87072 in exponential form is:

87072 = 2⁵ × 3¹ × 907¹

Step-2: Prime Factorization of 87088

Prime factors of 87088 are 2, 5443. Prime factorization of 87088 in exponential form is:

87088 = 2⁴ × 5443¹

Step-3: Factors of 87072

List of positive integer factors of 87072 that divides 87072 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 907, 1814, 2721, 3628, 5442, 7256, 10884, 14512, 21768, 29024, 43536

Step-4: Factors of 87088

List of positive integer factors of 87088 that divides 87072 without a remainder.

1, 2, 4, 8, 16, 5443, 10886, 21772, 43544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87072 and 87088. The biggest common factor number is the GCF number.
So the greatest common factor 87072 and 87088 is 16.

Also check out the Least Common Multiple of 87072 and 87088