What is the Greatest Common Factor of 37206 and 37225?

Greatest common factor (GCF) of 37206 and 37225 is 1.

GCF(37206,37225) = 1

We will now calculate the prime factors of 37206 and 37225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37206 and 37225.

How to find the GCF of 37206 and 37225?

We will first find the prime factorization of 37206 and 37225. After we will calculate the factors of 37206 and 37225 and find the biggest common factor number .

Step-1: Prime Factorization of 37206

Prime factors of 37206 are 2, 3, 13, 53. Prime factorization of 37206 in exponential form is:

37206 = 2¹ × 3³ × 13¹ × 53¹

Step-2: Prime Factorization of 37225

Prime factors of 37225 are 5, 1489. Prime factorization of 37225 in exponential form is:

37225 = 5² × 1489¹

Step-3: Factors of 37206

List of positive integer factors of 37206 that divides 37206 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 53, 54, 78, 106, 117, 159, 234, 318, 351, 477, 689, 702, 954, 1378, 1431, 2067, 2862, 4134, 6201, 12402, 18603

Step-4: Factors of 37225

List of positive integer factors of 37225 that divides 37206 without a remainder.

1, 5, 25, 1489, 7445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37206 and 37225. The biggest common factor number is the GCF number.
So the greatest common factor 37206 and 37225 is 1.

Also check out the Least Common Multiple of 37206 and 37225