What is the Greatest Common Factor of 37445 and 37465?

Greatest common factor (GCF) of 37445 and 37465 is 5.

GCF(37445,37465) = 5

We will now calculate the prime factors of 37445 and 37465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37445 and 37465.

How to find the GCF of 37445 and 37465?

We will first find the prime factorization of 37445 and 37465. After we will calculate the factors of 37445 and 37465 and find the biggest common factor number .

Step-1: Prime Factorization of 37445

Prime factors of 37445 are 5, 7489. Prime factorization of 37445 in exponential form is:

37445 = 5¹ × 7489¹

Step-2: Prime Factorization of 37465

Prime factors of 37465 are 5, 59, 127. Prime factorization of 37465 in exponential form is:

37465 = 5¹ × 59¹ × 127¹

Step-3: Factors of 37445

List of positive integer factors of 37445 that divides 37445 without a remainder.

1, 5, 7489

Step-4: Factors of 37465

List of positive integer factors of 37465 that divides 37445 without a remainder.

1, 5, 59, 127, 295, 635, 7493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37445 and 37465. The biggest common factor number is the GCF number.
So the greatest common factor 37445 and 37465 is 5.

Also check out the Least Common Multiple of 37445 and 37465