What is the Greatest Common Factor of 88340 and 88354?

Greatest common factor (GCF) of 88340 and 88354 is 14.

GCF(88340,88354) = 14

We will now calculate the prime factors of 88340 and 88354, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88340 and 88354.

How to find the GCF of 88340 and 88354?

We will first find the prime factorization of 88340 and 88354. After we will calculate the factors of 88340 and 88354 and find the biggest common factor number .

Step-1: Prime Factorization of 88340

Prime factors of 88340 are 2, 5, 7, 631. Prime factorization of 88340 in exponential form is:

88340 = 2² × 5¹ × 7¹ × 631¹

Step-2: Prime Factorization of 88354

Prime factors of 88354 are 2, 7, 6311. Prime factorization of 88354 in exponential form is:

88354 = 2¹ × 7¹ × 6311¹

Step-3: Factors of 88340

List of positive integer factors of 88340 that divides 88340 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 631, 1262, 2524, 3155, 4417, 6310, 8834, 12620, 17668, 22085, 44170

Step-4: Factors of 88354

List of positive integer factors of 88354 that divides 88340 without a remainder.

1, 2, 7, 14, 6311, 12622, 44177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88340 and 88354. The biggest common factor number is the GCF number.
So the greatest common factor 88340 and 88354 is 14.

Also check out the Least Common Multiple of 88340 and 88354