What is the Greatest Common Factor of 36462 and 36474?

Greatest common factor (GCF) of 36462 and 36474 is 6.

GCF(36462,36474) = 6

We will now calculate the prime factors of 36462 and 36474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36462 and 36474.

How to find the GCF of 36462 and 36474?

We will first find the prime factorization of 36462 and 36474. After we will calculate the factors of 36462 and 36474 and find the biggest common factor number .

Step-1: Prime Factorization of 36462

Prime factors of 36462 are 2, 3, 59, 103. Prime factorization of 36462 in exponential form is:

36462 = 2¹ × 3¹ × 59¹ × 103¹

Step-2: Prime Factorization of 36474

Prime factors of 36474 are 2, 3, 6079. Prime factorization of 36474 in exponential form is:

36474 = 2¹ × 3¹ × 6079¹

Step-3: Factors of 36462

List of positive integer factors of 36462 that divides 36462 without a remainder.

1, 2, 3, 6, 59, 103, 118, 177, 206, 309, 354, 618, 6077, 12154, 18231

Step-4: Factors of 36474

List of positive integer factors of 36474 that divides 36462 without a remainder.

1, 2, 3, 6, 6079, 12158, 18237

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36462 and 36474. The biggest common factor number is the GCF number.
So the greatest common factor 36462 and 36474 is 6.

Also check out the Least Common Multiple of 36462 and 36474