What is the Greatest Common Factor of 10072 and 10076?

Greatest common factor (GCF) of 10072 and 10076 is 4.

GCF(10072,10076) = 4

We will now calculate the prime factors of 10072 and 10076, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10072 and 10076.

How to find the GCF of 10072 and 10076?

We will first find the prime factorization of 10072 and 10076. After we will calculate the factors of 10072 and 10076 and find the biggest common factor number .

Step-1: Prime Factorization of 10072

Prime factors of 10072 are 2, 1259. Prime factorization of 10072 in exponential form is:

10072 = 2³ × 1259¹

Step-2: 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-3: Factors of 10072

List of positive integer factors of 10072 that divides 10072 without a remainder.

1, 2, 4, 8, 1259, 2518, 5036

Step-4: Factors of 10076

List of positive integer factors of 10076 that divides 10072 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10072 and 10076. The biggest common factor number is the GCF number.
So the greatest common factor 10072 and 10076 is 4.

Also check out the Least Common Multiple of 10072 and 10076