What is the Greatest Common Factor of 5040 and 5048?

Greatest common factor (GCF) of 5040 and 5048 is 8.

GCF(5040,5048) = 8

We will now calculate the prime factors of 5040 and 5048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5040 and 5048.

How to find the GCF of 5040 and 5048?

We will first find the prime factorization of 5040 and 5048. After we will calculate the factors of 5040 and 5048 and find the biggest common factor number .

Step-1: Prime Factorization of 5040

Prime factors of 5040 are 2, 3, 5, 7. Prime factorization of 5040 in exponential form is:

5040 = 2⁴ × 3² × 5¹ × 7¹

Step-2: Prime Factorization of 5048

Prime factors of 5048 are 2, 631. Prime factorization of 5048 in exponential form is:

5048 = 2³ × 631¹

Step-3: Factors of 5040

List of positive integer factors of 5040 that divides 5040 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 105, 112, 120, 126, 140, 144, 168, 180, 210, 240, 252, 280, 315, 336, 360, 420, 504, 560, 630, 720, 840, 1008, 1260, 1680, 2520

Step-4: Factors of 5048

List of positive integer factors of 5048 that divides 5040 without a remainder.

1, 2, 4, 8, 631, 1262, 2524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5040 and 5048. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5048 is 8.

Also check out the Least Common Multiple of 5040 and 5048