What is the Greatest Common Factor of 83460 and 83473?

Greatest common factor (GCF) of 83460 and 83473 is 13.

GCF(83460,83473) = 13

We will now calculate the prime factors of 83460 and 83473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83460 and 83473.

How to find the GCF of 83460 and 83473?

We will first find the prime factorization of 83460 and 83473. After we will calculate the factors of 83460 and 83473 and find the biggest common factor number .

Step-1: Prime Factorization of 83460

Prime factors of 83460 are 2, 3, 5, 13, 107. Prime factorization of 83460 in exponential form is:

83460 = 2² × 3¹ × 5¹ × 13¹ × 107¹

Step-2: Prime Factorization of 83473

Prime factors of 83473 are 13, 6421. Prime factorization of 83473 in exponential form is:

83473 = 13¹ × 6421¹

Step-3: Factors of 83460

List of positive integer factors of 83460 that divides 83460 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 107, 130, 156, 195, 214, 260, 321, 390, 428, 535, 642, 780, 1070, 1284, 1391, 1605, 2140, 2782, 3210, 4173, 5564, 6420, 6955, 8346, 13910, 16692, 20865, 27820, 41730

Step-4: Factors of 83473

List of positive integer factors of 83473 that divides 83460 without a remainder.

1, 13, 6421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83460 and 83473. The biggest common factor number is the GCF number.
So the greatest common factor 83460 and 83473 is 13.

Also check out the Least Common Multiple of 83460 and 83473