What is the Greatest Common Factor of 84648 and 84660?

Greatest common factor (GCF) of 84648 and 84660 is 12.

GCF(84648,84660) = 12

We will now calculate the prime factors of 84648 and 84660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84648 and 84660.

How to find the GCF of 84648 and 84660?

We will first find the prime factorization of 84648 and 84660. After we will calculate the factors of 84648 and 84660 and find the biggest common factor number .

Step-1: Prime Factorization of 84648

Prime factors of 84648 are 2, 3, 3527. Prime factorization of 84648 in exponential form is:

84648 = 2³ × 3¹ × 3527¹

Step-2: Prime Factorization of 84660

Prime factors of 84660 are 2, 3, 5, 17, 83. Prime factorization of 84660 in exponential form is:

84660 = 2² × 3¹ × 5¹ × 17¹ × 83¹

Step-3: Factors of 84648

List of positive integer factors of 84648 that divides 84648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3527, 7054, 10581, 14108, 21162, 28216, 42324

Step-4: Factors of 84660

List of positive integer factors of 84660 that divides 84648 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 51, 60, 68, 83, 85, 102, 166, 170, 204, 249, 255, 332, 340, 415, 498, 510, 830, 996, 1020, 1245, 1411, 1660, 2490, 2822, 4233, 4980, 5644, 7055, 8466, 14110, 16932, 21165, 28220, 42330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84648 and 84660. The biggest common factor number is the GCF number.
So the greatest common factor 84648 and 84660 is 12.

Also check out the Least Common Multiple of 84648 and 84660