What is the Greatest Common Factor of 83460 and 83465?

Greatest common factor (GCF) of 83460 and 83465 is 5.

GCF(83460,83465) = 5

We will now calculate the prime factors of 83460 and 83465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83460 and 83465.

How to find the GCF of 83460 and 83465?

We will first find the prime factorization of 83460 and 83465. After we will calculate the factors of 83460 and 83465 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 83465

Prime factors of 83465 are 5, 16693. Prime factorization of 83465 in exponential form is:

83465 = 5¹ × 16693¹

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 83465

List of positive integer factors of 83465 that divides 83460 without a remainder.

1, 5, 16693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83460 and 83465. The biggest common factor number is the GCF number.
So the greatest common factor 83460 and 83465 is 5.

Also check out the Least Common Multiple of 83460 and 83465