What is the Greatest Common Factor of 7474 and 7487?

Greatest common factor (GCF) of 7474 and 7487 is 1.

GCF(7474,7487) = 1

We will now calculate the prime factors of 7474 and 7487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7474 and 7487.

How to find the GCF of 7474 and 7487?

We will first find the prime factorization of 7474 and 7487. After we will calculate the factors of 7474 and 7487 and find the biggest common factor number .

Step-1: Prime Factorization of 7474

Prime factors of 7474 are 2, 37, 101. Prime factorization of 7474 in exponential form is:

7474 = 2¹ × 37¹ × 101¹

Step-2: Prime Factorization of 7487

Prime factors of 7487 are 7487. Prime factorization of 7487 in exponential form is:

7487 = 7487¹

Step-3: Factors of 7474

List of positive integer factors of 7474 that divides 7474 without a remainder.

1, 2, 37, 74, 101, 202, 3737

Step-4: Factors of 7487

List of positive integer factors of 7487 that divides 7474 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7474 and 7487. The biggest common factor number is the GCF number.
So the greatest common factor 7474 and 7487 is 1.

Also check out the Least Common Multiple of 7474 and 7487