What is the Greatest Common Factor of 7470 and 7486?

Greatest common factor (GCF) of 7470 and 7486 is 2.

GCF(7470,7486) = 2

We will now calculate the prime factors of 7470 and 7486, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7470 and 7486.

How to find the GCF of 7470 and 7486?

We will first find the prime factorization of 7470 and 7486. After we will calculate the factors of 7470 and 7486 and find the biggest common factor number .

Step-1: Prime Factorization of 7470

Prime factors of 7470 are 2, 3, 5, 83. Prime factorization of 7470 in exponential form is:

7470 = 2¹ × 3² × 5¹ × 83¹

Step-2: Prime Factorization of 7486

Prime factors of 7486 are 2, 19, 197. Prime factorization of 7486 in exponential form is:

7486 = 2¹ × 19¹ × 197¹

Step-3: Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735

Step-4: Factors of 7486

List of positive integer factors of 7486 that divides 7470 without a remainder.

1, 2, 19, 38, 197, 394, 3743

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7470 and 7486. The biggest common factor number is the GCF number.
So the greatest common factor 7470 and 7486 is 2.

Also check out the Least Common Multiple of 7470 and 7486