What is the Greatest Common Factor of 5040 and 5046?

Greatest common factor (GCF) of 5040 and 5046 is 6.

GCF(5040,5046) = 6

We will now calculate the prime factors of 5040 and 5046, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5040 and 5046.

How to find the GCF of 5040 and 5046?

We will first find the prime factorization of 5040 and 5046. After we will calculate the factors of 5040 and 5046 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 5046

Prime factors of 5046 are 2, 3, 29. Prime factorization of 5046 in exponential form is:

5046 = 2¹ × 3¹ × 29²

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 5046

List of positive integer factors of 5046 that divides 5040 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 841, 1682, 2523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5040 and 5046. The biggest common factor number is the GCF number.
So the greatest common factor 5040 and 5046 is 6.

Also check out the Least Common Multiple of 5040 and 5046