What is the Greatest Common Factor of 83460 and 83470?

Greatest common factor (GCF) of 83460 and 83470 is 10.

GCF(83460,83470) = 10

We will now calculate the prime factors of 83460 and 83470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83460 and 83470.

How to find the GCF of 83460 and 83470?

We will first find the prime factorization of 83460 and 83470. After we will calculate the factors of 83460 and 83470 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 83470

Prime factors of 83470 are 2, 5, 17, 491. Prime factorization of 83470 in exponential form is:

83470 = 2¹ × 5¹ × 17¹ × 491¹

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 83470

List of positive integer factors of 83470 that divides 83460 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 491, 982, 2455, 4910, 8347, 16694, 41735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83460 and 83470. The biggest common factor number is the GCF number.
So the greatest common factor 83460 and 83470 is 10.

Also check out the Least Common Multiple of 83460 and 83470