What is the Greatest Common Factor of 83460 and 83464?

Greatest common factor (GCF) of 83460 and 83464 is 4.

GCF(83460,83464) = 4

We will now calculate the prime factors of 83460 and 83464, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83460 and 83464.

How to find the GCF of 83460 and 83464?

We will first find the prime factorization of 83460 and 83464. After we will calculate the factors of 83460 and 83464 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 83464

Prime factors of 83464 are 2, 10433. Prime factorization of 83464 in exponential form is:

83464 = 2³ × 10433¹

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 83464

List of positive integer factors of 83464 that divides 83460 without a remainder.

1, 2, 4, 8, 10433, 20866, 41732

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83460 and 83464. The biggest common factor number is the GCF number.
So the greatest common factor 83460 and 83464 is 4.

Also check out the Least Common Multiple of 83460 and 83464