What is the Greatest Common Factor of 84643 and 84660?

Greatest common factor (GCF) of 84643 and 84660 is 17.

GCF(84643,84660) = 17

We will now calculate the prime factors of 84643 and 84660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84643 and 84660.

How to find the GCF of 84643 and 84660?

We will first find the prime factorization of 84643 and 84660. After we will calculate the factors of 84643 and 84660 and find the biggest common factor number .

Step-1: Prime Factorization of 84643

Prime factors of 84643 are 13, 17, 383. Prime factorization of 84643 in exponential form is:

84643 = 13¹ × 17¹ × 383¹

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 84643

List of positive integer factors of 84643 that divides 84643 without a remainder.

1, 13, 17, 221, 383, 4979, 6511

Step-4: Factors of 84660

List of positive integer factors of 84660 that divides 84643 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 84643 and 84660. The biggest common factor number is the GCF number.
So the greatest common factor 84643 and 84660 is 17.

Also check out the Least Common Multiple of 84643 and 84660