What is the Greatest Common Factor of 37505 and 37514?

Greatest common factor (GCF) of 37505 and 37514 is 1.

GCF(37505,37514) = 1

We will now calculate the prime factors of 37505 and 37514, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37505 and 37514.

How to find the GCF of 37505 and 37514?

We will first find the prime factorization of 37505 and 37514. After we will calculate the factors of 37505 and 37514 and find the biggest common factor number .

Step-1: Prime Factorization of 37505

Prime factors of 37505 are 5, 13, 577. Prime factorization of 37505 in exponential form is:

37505 = 5¹ × 13¹ × 577¹

Step-2: Prime Factorization of 37514

Prime factors of 37514 are 2, 18757. Prime factorization of 37514 in exponential form is:

37514 = 2¹ × 18757¹

Step-3: Factors of 37505

List of positive integer factors of 37505 that divides 37505 without a remainder.

1, 5, 13, 65, 577, 2885, 7501

Step-4: Factors of 37514

List of positive integer factors of 37514 that divides 37505 without a remainder.

1, 2, 18757

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37505 and 37514. The biggest common factor number is the GCF number.
So the greatest common factor 37505 and 37514 is 1.

Also check out the Least Common Multiple of 37505 and 37514