What is the Greatest Common Factor of 36462 and 36476?

Greatest common factor (GCF) of 36462 and 36476 is 2.

GCF(36462,36476) = 2

We will now calculate the prime factors of 36462 and 36476, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36462 and 36476.

How to find the GCF of 36462 and 36476?

We will first find the prime factorization of 36462 and 36476. After we will calculate the factors of 36462 and 36476 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 36476

Prime factors of 36476 are 2, 11, 829. Prime factorization of 36476 in exponential form is:

36476 = 2² × 11¹ × 829¹

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 36476

List of positive integer factors of 36476 that divides 36462 without a remainder.

1, 2, 4, 11, 22, 44, 829, 1658, 3316, 9119, 18238

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36462 and 36476. The biggest common factor number is the GCF number.
So the greatest common factor 36462 and 36476 is 2.

Also check out the Least Common Multiple of 36462 and 36476