What is the Greatest Common Factor of 83460 and 83476?

Greatest common factor (GCF) of 83460 and 83476 is 4.

GCF(83460,83476) = 4

We will now calculate the prime factors of 83460 and 83476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83460 and 83476.

How to find the GCF of 83460 and 83476?

We will first find the prime factorization of 83460 and 83476. After we will calculate the factors of 83460 and 83476 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 83476

Prime factors of 83476 are 2, 41, 509. Prime factorization of 83476 in exponential form is:

83476 = 2² × 41¹ × 509¹

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 83476

List of positive integer factors of 83476 that divides 83460 without a remainder.

1, 2, 4, 41, 82, 164, 509, 1018, 2036, 20869, 41738

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83460 and 83476. The biggest common factor number is the GCF number.
So the greatest common factor 83460 and 83476 is 4.

Also check out the Least Common Multiple of 83460 and 83476