What is the Greatest Common Factor of 88429 and 88440?

Greatest common factor (GCF) of 88429 and 88440 is 11.

GCF(88429,88440) = 11

We will now calculate the prime factors of 88429 and 88440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 88429 and 88440.

How to find the GCF of 88429 and 88440?

We will first find the prime factorization of 88429 and 88440. After we will calculate the factors of 88429 and 88440 and find the biggest common factor number .

Step-1: Prime Factorization of 88429

Prime factors of 88429 are 11, 8039. Prime factorization of 88429 in exponential form is:

88429 = 11¹ × 8039¹

Step-2: Prime Factorization of 88440

Prime factors of 88440 are 2, 3, 5, 11, 67. Prime factorization of 88440 in exponential form is:

88440 = 2³ × 3¹ × 5¹ × 11¹ × 67¹

Step-3: Factors of 88429

List of positive integer factors of 88429 that divides 88429 without a remainder.

1, 11, 8039

Step-4: Factors of 88440

List of positive integer factors of 88440 that divides 88429 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 67, 88, 110, 120, 132, 134, 165, 201, 220, 264, 268, 330, 335, 402, 440, 536, 660, 670, 737, 804, 1005, 1320, 1340, 1474, 1608, 2010, 2211, 2680, 2948, 3685, 4020, 4422, 5896, 7370, 8040, 8844, 11055, 14740, 17688, 22110, 29480, 44220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 88429 and 88440. The biggest common factor number is the GCF number.
So the greatest common factor 88429 and 88440 is 11.

Also check out the Least Common Multiple of 88429 and 88440