What is the Greatest Common Factor of 89424 and 89429?

Greatest common factor (GCF) of 89424 and 89429 is 1.

GCF(89424,89429) = 1

We will now calculate the prime factors of 89424 and 89429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89424 and 89429.

How to find the GCF of 89424 and 89429?

We will first find the prime factorization of 89424 and 89429. After we will calculate the factors of 89424 and 89429 and find the biggest common factor number .

Step-1: Prime Factorization of 89424

Prime factors of 89424 are 2, 3, 23. Prime factorization of 89424 in exponential form is:

89424 = 2⁴ × 3⁵ × 23¹

Step-2: Prime Factorization of 89429

Prime factors of 89429 are 37, 2417. Prime factorization of 89429 in exponential form is:

89429 = 37¹ × 2417¹

Step-3: Factors of 89424

List of positive integer factors of 89424 that divides 89424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 81, 92, 108, 138, 144, 162, 184, 207, 216, 243, 276, 324, 368, 414, 432, 486, 552, 621, 648, 828, 972, 1104, 1242, 1296, 1656, 1863, 1944, 2484, 3312, 3726, 3888, 4968, 5589, 7452, 9936, 11178, 14904, 22356, 29808, 44712

Step-4: Factors of 89429

List of positive integer factors of 89429 that divides 89424 without a remainder.

1, 37, 2417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89424 and 89429. The biggest common factor number is the GCF number.
So the greatest common factor 89424 and 89429 is 1.

Also check out the Least Common Multiple of 89424 and 89429