What is the Greatest Common Factor of 88374 and 88394?

Greatest common factor (GCF) of 88374 and 88394 is 2.

GCF(88374,88394) = 2

We will now calculate the prime factors of 88374 and 88394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88374 and 88394.

How to find the GCF of 88374 and 88394?

We will first find the prime factorization of 88374 and 88394. After we will calculate the factors of 88374 and 88394 and find the biggest common factor number .

Step-1: Prime Factorization of 88374

Prime factors of 88374 are 2, 3, 11, 13, 103. Prime factorization of 88374 in exponential form is:

88374 = 2¹ × 3¹ × 11¹ × 13¹ × 103¹

Step-2: Prime Factorization of 88394

Prime factors of 88394 are 2, 193, 229. Prime factorization of 88394 in exponential form is:

88394 = 2¹ × 193¹ × 229¹

Step-3: Factors of 88374

List of positive integer factors of 88374 that divides 88374 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 103, 143, 206, 286, 309, 429, 618, 858, 1133, 1339, 2266, 2678, 3399, 4017, 6798, 8034, 14729, 29458, 44187

Step-4: Factors of 88394

List of positive integer factors of 88394 that divides 88374 without a remainder.

1, 2, 193, 229, 386, 458, 44197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88374 and 88394. The biggest common factor number is the GCF number.
So the greatest common factor 88374 and 88394 is 2.

Also check out the Least Common Multiple of 88374 and 88394