What is the Greatest Common Factor of 37438 and 37457?

Greatest common factor (GCF) of 37438 and 37457 is 1.

GCF(37438,37457) = 1

We will now calculate the prime factors of 37438 and 37457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37438 and 37457.

How to find the GCF of 37438 and 37457?

We will first find the prime factorization of 37438 and 37457. After we will calculate the factors of 37438 and 37457 and find the biggest common factor number .

Step-1: Prime Factorization of 37438

Prime factors of 37438 are 2, 18719. Prime factorization of 37438 in exponential form is:

37438 = 2¹ × 18719¹

Step-2: Prime Factorization of 37457

Prime factors of 37457 are 7, 5351. Prime factorization of 37457 in exponential form is:

37457 = 7¹ × 5351¹

Step-3: Factors of 37438

List of positive integer factors of 37438 that divides 37438 without a remainder.

1, 2, 18719

Step-4: Factors of 37457

List of positive integer factors of 37457 that divides 37438 without a remainder.

1, 7, 5351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37438 and 37457. The biggest common factor number is the GCF number.
So the greatest common factor 37438 and 37457 is 1.

Also check out the Least Common Multiple of 37438 and 37457