What is the Greatest Common Factor of 88365 and 88374?

Greatest common factor (GCF) of 88365 and 88374 is 3.

GCF(88365,88374) = 3

We will now calculate the prime factors of 88365 and 88374, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88365 and 88374.

How to find the GCF of 88365 and 88374?

We will first find the prime factorization of 88365 and 88374. After we will calculate the factors of 88365 and 88374 and find the biggest common factor number .

Step-1: Prime Factorization of 88365

Prime factors of 88365 are 3, 5, 43, 137. Prime factorization of 88365 in exponential form is:

88365 = 3¹ × 5¹ × 43¹ × 137¹

Step-2: 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-3: Factors of 88365

List of positive integer factors of 88365 that divides 88365 without a remainder.

1, 3, 5, 15, 43, 129, 137, 215, 411, 645, 685, 2055, 5891, 17673, 29455

Step-4: Factors of 88374

List of positive integer factors of 88374 that divides 88365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88365 and 88374. The biggest common factor number is the GCF number.
So the greatest common factor 88365 and 88374 is 3.

Also check out the Least Common Multiple of 88365 and 88374