What is the Greatest Common Factor of 78004 and 78022?

Greatest common factor (GCF) of 78004 and 78022 is 2.

GCF(78004,78022) = 2

We will now calculate the prime factors of 78004 and 78022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 78004 and 78022.

How to find the GCF of 78004 and 78022?

We will first find the prime factorization of 78004 and 78022. After we will calculate the factors of 78004 and 78022 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 78022

Prime factors of 78022 are 2, 7, 5573. Prime factorization of 78022 in exponential form is:

78022 = 2¹ × 7¹ × 5573¹

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 78022

List of positive integer factors of 78022 that divides 78004 without a remainder.

1, 2, 7, 14, 5573, 11146, 39011

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 78004 and 78022. The biggest common factor number is the GCF number.
So the greatest common factor 78004 and 78022 is 2.

Also check out the Least Common Multiple of 78004 and 78022