What is the Greatest Common Factor of 37225 and 37245?

Greatest common factor (GCF) of 37225 and 37245 is 5.

GCF(37225,37245) = 5

We will now calculate the prime factors of 37225 and 37245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37225 and 37245.

How to find the GCF of 37225 and 37245?

We will first find the prime factorization of 37225 and 37245. After we will calculate the factors of 37225 and 37245 and find the biggest common factor number .

Step-1: Prime Factorization of 37225

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

37225 = 5² × 1489¹

Step-2: Prime Factorization of 37245

Prime factors of 37245 are 3, 5, 13, 191. Prime factorization of 37245 in exponential form is:

37245 = 3¹ × 5¹ × 13¹ × 191¹

Step-3: Factors of 37225

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

1, 5, 25, 1489, 7445

Step-4: Factors of 37245

List of positive integer factors of 37245 that divides 37225 without a remainder.

1, 3, 5, 13, 15, 39, 65, 191, 195, 573, 955, 2483, 2865, 7449, 12415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37225 and 37245. The biggest common factor number is the GCF number.
So the greatest common factor 37225 and 37245 is 5.

Also check out the Least Common Multiple of 37225 and 37245