What is the Greatest Common Factor of 7440 and 7460?

Greatest common factor (GCF) of 7440 and 7460 is 20.

GCF(7440,7460) = 20

We will now calculate the prime factors of 7440 and 7460, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7440 and 7460.

How to find the GCF of 7440 and 7460?

We will first find the prime factorization of 7440 and 7460. After we will calculate the factors of 7440 and 7460 and find the biggest common factor number .

Step-1: Prime Factorization of 7440

Prime factors of 7440 are 2, 3, 5, 31. Prime factorization of 7440 in exponential form is:

7440 = 2⁴ × 3¹ × 5¹ × 31¹

Step-2: Prime Factorization of 7460

Prime factors of 7460 are 2, 5, 373. Prime factorization of 7460 in exponential form is:

7460 = 2² × 5¹ × 373¹

Step-3: Factors of 7440

List of positive integer factors of 7440 that divides 7440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 31, 40, 48, 60, 62, 80, 93, 120, 124, 155, 186, 240, 248, 310, 372, 465, 496, 620, 744, 930, 1240, 1488, 1860, 2480, 3720

Step-4: Factors of 7460

List of positive integer factors of 7460 that divides 7440 without a remainder.

1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7440 and 7460. The biggest common factor number is the GCF number.
So the greatest common factor 7440 and 7460 is 20.

Also check out the Least Common Multiple of 7440 and 7460