What is the Greatest Common Factor of 88220 and 88238?

Greatest common factor (GCF) of 88220 and 88238 is 2.

GCF(88220,88238) = 2

We will now calculate the prime factors of 88220 and 88238, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88220 and 88238.

How to find the GCF of 88220 and 88238?

We will first find the prime factorization of 88220 and 88238. After we will calculate the factors of 88220 and 88238 and find the biggest common factor number .

Step-1: Prime Factorization of 88220

Prime factors of 88220 are 2, 5, 11, 401. Prime factorization of 88220 in exponential form is:

88220 = 2² × 5¹ × 11¹ × 401¹

Step-2: Prime Factorization of 88238

Prime factors of 88238 are 2, 44119. Prime factorization of 88238 in exponential form is:

88238 = 2¹ × 44119¹

Step-3: Factors of 88220

List of positive integer factors of 88220 that divides 88220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 401, 802, 1604, 2005, 4010, 4411, 8020, 8822, 17644, 22055, 44110

Step-4: Factors of 88238

List of positive integer factors of 88238 that divides 88220 without a remainder.

1, 2, 44119

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88220 and 88238. The biggest common factor number is the GCF number.
So the greatest common factor 88220 and 88238 is 2.

Also check out the Least Common Multiple of 88220 and 88238