What is the Greatest Common Factor of 87066 and 87072?

Greatest common factor (GCF) of 87066 and 87072 is 6.

GCF(87066,87072) = 6

We will now calculate the prime factors of 87066 and 87072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87066 and 87072.

How to find the GCF of 87066 and 87072?

We will first find the prime factorization of 87066 and 87072. After we will calculate the factors of 87066 and 87072 and find the biggest common factor number .

Step-1: Prime Factorization of 87066

Prime factors of 87066 are 2, 3, 7, 691. Prime factorization of 87066 in exponential form is:

87066 = 2¹ × 3² × 7¹ × 691¹

Step-2: 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-3: Factors of 87066

List of positive integer factors of 87066 that divides 87066 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 691, 1382, 2073, 4146, 4837, 6219, 9674, 12438, 14511, 29022, 43533

Step-4: Factors of 87072

List of positive integer factors of 87072 that divides 87066 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87066 and 87072. The biggest common factor number is the GCF number.
So the greatest common factor 87066 and 87072 is 6.

Also check out the Least Common Multiple of 87066 and 87072