What is the Greatest Common Factor of 86973 and 86988?

Greatest common factor (GCF) of 86973 and 86988 is 3.

GCF(86973,86988) = 3

We will now calculate the prime factors of 86973 and 86988, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86973 and 86988.

How to find the GCF of 86973 and 86988?

We will first find the prime factorization of 86973 and 86988. After we will calculate the factors of 86973 and 86988 and find the biggest common factor number .

Step-1: Prime Factorization of 86973

Prime factors of 86973 are 3, 53, 547. Prime factorization of 86973 in exponential form is:

86973 = 3¹ × 53¹ × 547¹

Step-2: Prime Factorization of 86988

Prime factors of 86988 are 2, 3, 11, 659. Prime factorization of 86988 in exponential form is:

86988 = 2² × 3¹ × 11¹ × 659¹

Step-3: Factors of 86973

List of positive integer factors of 86973 that divides 86973 without a remainder.

1, 3, 53, 159, 547, 1641, 28991

Step-4: Factors of 86988

List of positive integer factors of 86988 that divides 86973 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 659, 1318, 1977, 2636, 3954, 7249, 7908, 14498, 21747, 28996, 43494

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86973 and 86988. The biggest common factor number is the GCF number.
So the greatest common factor 86973 and 86988 is 3.

Also check out the Least Common Multiple of 86973 and 86988