What is the Greatest Common Factor of 36462 and 36472?

Greatest common factor (GCF) of 36462 and 36472 is 2.

GCF(36462,36472) = 2

We will now calculate the prime factors of 36462 and 36472, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36462 and 36472.

How to find the GCF of 36462 and 36472?

We will first find the prime factorization of 36462 and 36472. After we will calculate the factors of 36462 and 36472 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 36472

Prime factors of 36472 are 2, 47, 97. Prime factorization of 36472 in exponential form is:

36472 = 2³ × 47¹ × 97¹

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 36472

List of positive integer factors of 36472 that divides 36462 without a remainder.

1, 2, 4, 8, 47, 94, 97, 188, 194, 376, 388, 776, 4559, 9118, 18236

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36462 and 36472. The biggest common factor number is the GCF number.
So the greatest common factor 36462 and 36472 is 2.

Also check out the Least Common Multiple of 36462 and 36472