What is the Greatest Common Factor of 88722 and 88734?

Greatest common factor (GCF) of 88722 and 88734 is 6.

GCF(88722,88734) = 6

We will now calculate the prime factors of 88722 and 88734, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88722 and 88734.

How to find the GCF of 88722 and 88734?

We will first find the prime factorization of 88722 and 88734. After we will calculate the factors of 88722 and 88734 and find the biggest common factor number .

Step-1: Prime Factorization of 88722

Prime factors of 88722 are 2, 3, 31, 53. Prime factorization of 88722 in exponential form is:

88722 = 2¹ × 3³ × 31¹ × 53¹

Step-2: Prime Factorization of 88734

Prime factors of 88734 are 2, 3, 23, 643. Prime factorization of 88734 in exponential form is:

88734 = 2¹ × 3¹ × 23¹ × 643¹

Step-3: Factors of 88722

List of positive integer factors of 88722 that divides 88722 without a remainder.

1, 2, 3, 6, 9, 18, 27, 31, 53, 54, 62, 93, 106, 159, 186, 279, 318, 477, 558, 837, 954, 1431, 1643, 1674, 2862, 3286, 4929, 9858, 14787, 29574, 44361

Step-4: Factors of 88734

List of positive integer factors of 88734 that divides 88722 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 643, 1286, 1929, 3858, 14789, 29578, 44367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88722 and 88734. The biggest common factor number is the GCF number.
So the greatest common factor 88722 and 88734 is 6.

Also check out the Least Common Multiple of 88722 and 88734