What is the Greatest Common Factor of 88210 and 88224?

Greatest common factor (GCF) of 88210 and 88224 is 2.

GCF(88210,88224) = 2

We will now calculate the prime factors of 88210 and 88224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88210 and 88224.

How to find the GCF of 88210 and 88224?

We will first find the prime factorization of 88210 and 88224. After we will calculate the factors of 88210 and 88224 and find the biggest common factor number .

Step-1: Prime Factorization of 88210

Prime factors of 88210 are 2, 5, 8821. Prime factorization of 88210 in exponential form is:

88210 = 2¹ × 5¹ × 8821¹

Step-2: Prime Factorization of 88224

Prime factors of 88224 are 2, 3, 919. Prime factorization of 88224 in exponential form is:

88224 = 2⁵ × 3¹ × 919¹

Step-3: Factors of 88210

List of positive integer factors of 88210 that divides 88210 without a remainder.

1, 2, 5, 10, 8821, 17642, 44105

Step-4: Factors of 88224

List of positive integer factors of 88224 that divides 88210 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 919, 1838, 2757, 3676, 5514, 7352, 11028, 14704, 22056, 29408, 44112

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88210 and 88224. The biggest common factor number is the GCF number.
So the greatest common factor 88210 and 88224 is 2.

Also check out the Least Common Multiple of 88210 and 88224