What is the Greatest Common Factor of 7440 and 7458?

Greatest common factor (GCF) of 7440 and 7458 is 6.

GCF(7440,7458) = 6

We will now calculate the prime factors of 7440 and 7458, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7440 and 7458.

How to find the GCF of 7440 and 7458?

We will first find the prime factorization of 7440 and 7458. After we will calculate the factors of 7440 and 7458 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 7458

Prime factors of 7458 are 2, 3, 11, 113. Prime factorization of 7458 in exponential form is:

7458 = 2¹ × 3¹ × 11¹ × 113¹

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 7458

List of positive integer factors of 7458 that divides 7440 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 113, 226, 339, 678, 1243, 2486, 3729

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7440 and 7458. The biggest common factor number is the GCF number.
So the greatest common factor 7440 and 7458 is 6.

Also check out the Least Common Multiple of 7440 and 7458