What is the Greatest Common Factor of 78004 and 78010?

Greatest common factor (GCF) of 78004 and 78010 is 2.

GCF(78004,78010) = 2

We will now calculate the prime factors of 78004 and 78010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78004 and 78010.

How to find the GCF of 78004 and 78010?

We will first find the prime factorization of 78004 and 78010. After we will calculate the factors of 78004 and 78010 and find the biggest common factor number .

Step-1: Prime Factorization of 78004

Prime factors of 78004 are 2, 19501. Prime factorization of 78004 in exponential form is:

78004 = 2² × 19501¹

Step-2: Prime Factorization of 78010

Prime factors of 78010 are 2, 5, 29, 269. Prime factorization of 78010 in exponential form is:

78010 = 2¹ × 5¹ × 29¹ × 269¹

Step-3: Factors of 78004

List of positive integer factors of 78004 that divides 78004 without a remainder.

1, 2, 4, 19501, 39002

Step-4: Factors of 78010

List of positive integer factors of 78010 that divides 78004 without a remainder.

1, 2, 5, 10, 29, 58, 145, 269, 290, 538, 1345, 2690, 7801, 15602, 39005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78004 and 78010. The biggest common factor number is the GCF number.
So the greatest common factor 78004 and 78010 is 2.

Also check out the Least Common Multiple of 78004 and 78010