What is the Greatest Common Factor of 87054 and 87065?

Greatest common factor (GCF) of 87054 and 87065 is 11.

GCF(87054,87065) = 11

We will now calculate the prime factors of 87054 and 87065, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87054 and 87065.

How to find the GCF of 87054 and 87065?

We will first find the prime factorization of 87054 and 87065. After we will calculate the factors of 87054 and 87065 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 87065

Prime factors of 87065 are 5, 11, 1583. Prime factorization of 87065 in exponential form is:

87065 = 5¹ × 11¹ × 1583¹

Step-3: Factors of 87054

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

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

Step-4: Factors of 87065

List of positive integer factors of 87065 that divides 87054 without a remainder.

1, 5, 11, 55, 1583, 7915, 17413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87054 and 87065. The biggest common factor number is the GCF number.
So the greatest common factor 87054 and 87065 is 11.

Also check out the Least Common Multiple of 87054 and 87065