What is the Greatest Common Factor of 88004 and 88010?

Greatest common factor (GCF) of 88004 and 88010 is 2.

GCF(88004,88010) = 2

We will now calculate the prime factors of 88004 and 88010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88004 and 88010.

How to find the GCF of 88004 and 88010?

We will first find the prime factorization of 88004 and 88010. After we will calculate the factors of 88004 and 88010 and find the biggest common factor number .

Step-1: Prime Factorization of 88004

Prime factors of 88004 are 2, 7, 449. Prime factorization of 88004 in exponential form is:

88004 = 2² × 7² × 449¹

Step-2: Prime Factorization of 88010

Prime factors of 88010 are 2, 5, 13, 677. Prime factorization of 88010 in exponential form is:

88010 = 2¹ × 5¹ × 13¹ × 677¹

Step-3: Factors of 88004

List of positive integer factors of 88004 that divides 88004 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 449, 898, 1796, 3143, 6286, 12572, 22001, 44002

Step-4: Factors of 88010

List of positive integer factors of 88010 that divides 88004 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 677, 1354, 3385, 6770, 8801, 17602, 44005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88004 and 88010. The biggest common factor number is the GCF number.
So the greatest common factor 88004 and 88010 is 2.

Also check out the Least Common Multiple of 88004 and 88010