What is the Greatest Common Factor of 10078 and 10087?

Greatest common factor (GCF) of 10078 and 10087 is 1.

GCF(10078,10087) = 1

We will now calculate the prime factors of 10078 and 10087, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10078 and 10087.

How to find the GCF of 10078 and 10087?

We will first find the prime factorization of 10078 and 10087. After we will calculate the factors of 10078 and 10087 and find the biggest common factor number .

Step-1: Prime Factorization of 10078

Prime factors of 10078 are 2, 5039. Prime factorization of 10078 in exponential form is:

10078 = 2¹ × 5039¹

Step-2: Prime Factorization of 10087

Prime factors of 10087 are 7, 11, 131. Prime factorization of 10087 in exponential form is:

10087 = 7¹ × 11¹ × 131¹

Step-3: Factors of 10078

List of positive integer factors of 10078 that divides 10078 without a remainder.

1, 2, 5039

Step-4: Factors of 10087

List of positive integer factors of 10087 that divides 10078 without a remainder.

1, 7, 11, 77, 131, 917, 1441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10078 and 10087. The biggest common factor number is the GCF number.
So the greatest common factor 10078 and 10087 is 1.

Also check out the Least Common Multiple of 10078 and 10087