What is the Greatest Common Factor of 37478 and 37485?

Greatest common factor (GCF) of 37478 and 37485 is 7.

GCF(37478,37485) = 7

We will now calculate the prime factors of 37478 and 37485, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37478 and 37485.

How to find the GCF of 37478 and 37485?

We will first find the prime factorization of 37478 and 37485. After we will calculate the factors of 37478 and 37485 and find the biggest common factor number .

Step-1: Prime Factorization of 37478

Prime factors of 37478 are 2, 7, 2677. Prime factorization of 37478 in exponential form is:

37478 = 2¹ × 7¹ × 2677¹

Step-2: Prime Factorization of 37485

Prime factors of 37485 are 3, 5, 7, 17. Prime factorization of 37485 in exponential form is:

37485 = 3² × 5¹ × 7² × 17¹

Step-3: Factors of 37478

List of positive integer factors of 37478 that divides 37478 without a remainder.

1, 2, 7, 14, 2677, 5354, 18739

Step-4: Factors of 37485

List of positive integer factors of 37485 that divides 37478 without a remainder.

1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 49, 51, 63, 85, 105, 119, 147, 153, 245, 255, 315, 357, 441, 595, 735, 765, 833, 1071, 1785, 2205, 2499, 4165, 5355, 7497, 12495

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37478 and 37485. The biggest common factor number is the GCF number.
So the greatest common factor 37478 and 37485 is 7.

Also check out the Least Common Multiple of 37478 and 37485