What is the Greatest Common Factor of 37458 and 37463?

Greatest common factor (GCF) of 37458 and 37463 is 1.

GCF(37458,37463) = 1

We will now calculate the prime factors of 37458 and 37463, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37458 and 37463.

How to find the GCF of 37458 and 37463?

We will first find the prime factorization of 37458 and 37463. After we will calculate the factors of 37458 and 37463 and find the biggest common factor number .

Step-1: Prime Factorization of 37458

Prime factors of 37458 are 2, 3, 2081. Prime factorization of 37458 in exponential form is:

37458 = 2¹ × 3² × 2081¹

Step-2: Prime Factorization of 37463

Prime factors of 37463 are 37463. Prime factorization of 37463 in exponential form is:

37463 = 37463¹

Step-3: Factors of 37458

List of positive integer factors of 37458 that divides 37458 without a remainder.

1, 2, 3, 6, 9, 18, 2081, 4162, 6243, 12486, 18729

Step-4: Factors of 37463

List of positive integer factors of 37463 that divides 37458 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37458 and 37463. The biggest common factor number is the GCF number.
So the greatest common factor 37458 and 37463 is 1.

Also check out the Least Common Multiple of 37458 and 37463