What is the Greatest Common Factor of 83430 and 83436?

Greatest common factor (GCF) of 83430 and 83436 is 6.

GCF(83430,83436) = 6

We will now calculate the prime factors of 83430 and 83436, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83430 and 83436.

How to find the GCF of 83430 and 83436?

We will first find the prime factorization of 83430 and 83436. After we will calculate the factors of 83430 and 83436 and find the biggest common factor number .

Step-1: Prime Factorization of 83430

Prime factors of 83430 are 2, 3, 5, 103. Prime factorization of 83430 in exponential form is:

83430 = 2¹ × 3⁴ × 5¹ × 103¹

Step-2: Prime Factorization of 83436

Prime factors of 83436 are 2, 3, 17, 409. Prime factorization of 83436 in exponential form is:

83436 = 2² × 3¹ × 17¹ × 409¹

Step-3: Factors of 83430

List of positive integer factors of 83430 that divides 83430 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 103, 135, 162, 206, 270, 309, 405, 515, 618, 810, 927, 1030, 1545, 1854, 2781, 3090, 4635, 5562, 8343, 9270, 13905, 16686, 27810, 41715

Step-4: Factors of 83436

List of positive integer factors of 83436 that divides 83430 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 409, 818, 1227, 1636, 2454, 4908, 6953, 13906, 20859, 27812, 41718

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83430 and 83436. The biggest common factor number is the GCF number.
So the greatest common factor 83430 and 83436 is 6.

Also check out the Least Common Multiple of 83430 and 83436