What is the Greatest Common Factor of 37225 and 37235?

Greatest common factor (GCF) of 37225 and 37235 is 5.

GCF(37225,37235) = 5

We will now calculate the prime factors of 37225 and 37235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37225 and 37235.

How to find the GCF of 37225 and 37235?

We will first find the prime factorization of 37225 and 37235. After we will calculate the factors of 37225 and 37235 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 37235

Prime factors of 37235 are 5, 11, 677. Prime factorization of 37235 in exponential form is:

37235 = 5¹ × 11¹ × 677¹

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 37235

List of positive integer factors of 37235 that divides 37225 without a remainder.

1, 5, 11, 55, 677, 3385, 7447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37225 and 37235. The biggest common factor number is the GCF number.
So the greatest common factor 37225 and 37235 is 5.

Also check out the Least Common Multiple of 37225 and 37235