What is the Greatest Common Factor of 5040 and 5051?

Greatest common factor (GCF) of 5040 and 5051 is 1.

GCF(5040,5051) = 1

We will now calculate the prime factors of 5040 and 5051, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5040 and 5051.

How to find the GCF of 5040 and 5051?

We will first find the prime factorization of 5040 and 5051. After we will calculate the factors of 5040 and 5051 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 5051

Prime factors of 5051 are 5051. Prime factorization of 5051 in exponential form is:

5051 = 5051¹

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 5051

List of positive integer factors of 5051 that divides 5040 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5040 and 5051. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5051 is 1.

Also check out the Least Common Multiple of 5040 and 5051