What is the Greatest Common Factor of 10076 and 10080?

Greatest common factor (GCF) of 10076 and 10080 is 4.

GCF(10076,10080) = 4

We will now calculate the prime factors of 10076 and 10080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10076 and 10080.

How to find the GCF of 10076 and 10080?

We will first find the prime factorization of 10076 and 10080. After we will calculate the factors of 10076 and 10080 and find the biggest common factor number .

Step-1: Prime Factorization of 10076

Prime factors of 10076 are 2, 11, 229. Prime factorization of 10076 in exponential form is:

10076 = 2² × 11¹ × 229¹

Step-2: Prime Factorization of 10080

Prime factors of 10080 are 2, 3, 5, 7. Prime factorization of 10080 in exponential form is:

10080 = 2⁵ × 3² × 5¹ × 7¹

Step-3: Factors of 10076

List of positive integer factors of 10076 that divides 10076 without a remainder.

1, 2, 4, 11, 22, 44, 229, 458, 916, 2519, 5038

Step-4: Factors of 10080

List of positive integer factors of 10080 that divides 10076 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 140, 144, 160, 168, 180, 210, 224, 240, 252, 280, 288, 315, 336, 360, 420, 480, 504, 560, 630, 672, 720, 840, 1008, 1120, 1260, 1440, 1680, 2016, 2520, 3360, 5040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10076 and 10080. The biggest common factor number is the GCF number.
So the greatest common factor 10076 and 10080 is 4.

Also check out the Least Common Multiple of 10076 and 10080