What is the Greatest Common Factor of 36472 and 36485?

Greatest common factor (GCF) of 36472 and 36485 is 1.

GCF(36472,36485) = 1

We will now calculate the prime factors of 36472 and 36485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36472 and 36485.

How to find the GCF of 36472 and 36485?

We will first find the prime factorization of 36472 and 36485. After we will calculate the factors of 36472 and 36485 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36485

Prime factors of 36485 are 5, 7297. Prime factorization of 36485 in exponential form is:

36485 = 5¹ × 7297¹

Step-3: Factors of 36472

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

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

Step-4: Factors of 36485

List of positive integer factors of 36485 that divides 36472 without a remainder.

1, 5, 7297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36472 and 36485. The biggest common factor number is the GCF number.
So the greatest common factor 36472 and 36485 is 1.

Also check out the Least Common Multiple of 36472 and 36485