What is the Greatest Common Factor of 7400 and 7419?

Greatest common factor (GCF) of 7400 and 7419 is 1.

GCF(7400,7419) = 1

We will now calculate the prime factors of 7400 and 7419, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7400 and 7419.

How to find the GCF of 7400 and 7419?

We will first find the prime factorization of 7400 and 7419. After we will calculate the factors of 7400 and 7419 and find the biggest common factor number .

Step-1: Prime Factorization of 7400

Prime factors of 7400 are 2, 5, 37. Prime factorization of 7400 in exponential form is:

7400 = 2³ × 5² × 37¹

Step-2: Prime Factorization of 7419

Prime factors of 7419 are 3, 2473. Prime factorization of 7419 in exponential form is:

7419 = 3¹ × 2473¹

Step-3: Factors of 7400

List of positive integer factors of 7400 that divides 7400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 37, 40, 50, 74, 100, 148, 185, 200, 296, 370, 740, 925, 1480, 1850, 3700

Step-4: Factors of 7419

List of positive integer factors of 7419 that divides 7400 without a remainder.

1, 3, 2473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7400 and 7419. The biggest common factor number is the GCF number.
So the greatest common factor 7400 and 7419 is 1.

Also check out the Least Common Multiple of 7400 and 7419