What is the Greatest Common Factor of 87072 and 87082?

Greatest common factor (GCF) of 87072 and 87082 is 2.

GCF(87072,87082) = 2

We will now calculate the prime factors of 87072 and 87082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87072 and 87082.

How to find the GCF of 87072 and 87082?

We will first find the prime factorization of 87072 and 87082. After we will calculate the factors of 87072 and 87082 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 87082

Prime factors of 87082 are 2, 43541. Prime factorization of 87082 in exponential form is:

87082 = 2¹ × 43541¹

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 87082

List of positive integer factors of 87082 that divides 87072 without a remainder.

1, 2, 43541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87072 and 87082. The biggest common factor number is the GCF number.
So the greatest common factor 87072 and 87082 is 2.

Also check out the Least Common Multiple of 87072 and 87082