What is the Greatest Common Factor of 88274 and 88278?

Greatest common factor (GCF) of 88274 and 88278 is 2.

GCF(88274,88278) = 2

We will now calculate the prime factors of 88274 and 88278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88274 and 88278.

How to find the GCF of 88274 and 88278?

We will first find the prime factorization of 88274 and 88278. After we will calculate the factors of 88274 and 88278 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 88278

Prime factors of 88278 are 2, 3, 14713. Prime factorization of 88278 in exponential form is:

88278 = 2¹ × 3¹ × 14713¹

Step-3: Factors of 88274

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

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

Step-4: Factors of 88278

List of positive integer factors of 88278 that divides 88274 without a remainder.

1, 2, 3, 6, 14713, 29426, 44139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88274 and 88278. The biggest common factor number is the GCF number.
So the greatest common factor 88274 and 88278 is 2.

Also check out the Least Common Multiple of 88274 and 88278