What is the Greatest Common Factor of 87036 and 87054?

Greatest common factor (GCF) of 87036 and 87054 is 6.

GCF(87036,87054) = 6

We will now calculate the prime factors of 87036 and 87054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87036 and 87054.

How to find the GCF of 87036 and 87054?

We will first find the prime factorization of 87036 and 87054. After we will calculate the factors of 87036 and 87054 and find the biggest common factor number .

Step-1: Prime Factorization of 87036

Prime factors of 87036 are 2, 3, 7253. Prime factorization of 87036 in exponential form is:

87036 = 2² × 3¹ × 7253¹

Step-2: Prime Factorization of 87054

Prime factors of 87054 are 2, 3, 11, 1319. Prime factorization of 87054 in exponential form is:

87054 = 2¹ × 3¹ × 11¹ × 1319¹

Step-3: Factors of 87036

List of positive integer factors of 87036 that divides 87036 without a remainder.

1, 2, 3, 4, 6, 12, 7253, 14506, 21759, 29012, 43518

Step-4: Factors of 87054

List of positive integer factors of 87054 that divides 87036 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1319, 2638, 3957, 7914, 14509, 29018, 43527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87036 and 87054. The biggest common factor number is the GCF number.
So the greatest common factor 87036 and 87054 is 6.

Also check out the Least Common Multiple of 87036 and 87054