What is the Greatest Common Factor of 88258 and 88274?

Greatest common factor (GCF) of 88258 and 88274 is 2.

GCF(88258,88274) = 2

We will now calculate the prime factors of 88258 and 88274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88258 and 88274.

How to find the GCF of 88258 and 88274?

We will first find the prime factorization of 88258 and 88274. After we will calculate the factors of 88258 and 88274 and find the biggest common factor number .

Step-1: Prime Factorization of 88258

Prime factors of 88258 are 2, 44129. Prime factorization of 88258 in exponential form is:

88258 = 2¹ × 44129¹

Step-2: Prime Factorization of 88274

Prime factors of 88274 are 2, 19, 23, 101. Prime factorization of 88274 in exponential form is:

88274 = 2¹ × 19¹ × 23¹ × 101¹

Step-3: Factors of 88258

List of positive integer factors of 88258 that divides 88258 without a remainder.

1, 2, 44129

Step-4: Factors of 88274

List of positive integer factors of 88274 that divides 88258 without a remainder.

1, 2, 19, 23, 38, 46, 101, 202, 437, 874, 1919, 2323, 3838, 4646, 44137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88258 and 88274. The biggest common factor number is the GCF number.
So the greatest common factor 88258 and 88274 is 2.

Also check out the Least Common Multiple of 88258 and 88274