What is the Greatest Common Factor of 37542 and 37562?

Greatest common factor (GCF) of 37542 and 37562 is 2.

GCF(37542,37562) = 2

We will now calculate the prime factors of 37542 and 37562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37542 and 37562.

How to find the GCF of 37542 and 37562?

We will first find the prime factorization of 37542 and 37562. After we will calculate the factors of 37542 and 37562 and find the biggest common factor number .

Step-1: Prime Factorization of 37542

Prime factors of 37542 are 2, 3, 6257. Prime factorization of 37542 in exponential form is:

37542 = 2¹ × 3¹ × 6257¹

Step-2: Prime Factorization of 37562

Prime factors of 37562 are 2, 7, 2683. Prime factorization of 37562 in exponential form is:

37562 = 2¹ × 7¹ × 2683¹

Step-3: Factors of 37542

List of positive integer factors of 37542 that divides 37542 without a remainder.

1, 2, 3, 6, 6257, 12514, 18771

Step-4: Factors of 37562

List of positive integer factors of 37562 that divides 37542 without a remainder.

1, 2, 7, 14, 2683, 5366, 18781

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37542 and 37562. The biggest common factor number is the GCF number.
So the greatest common factor 37542 and 37562 is 2.

Also check out the Least Common Multiple of 37542 and 37562