What is the Greatest Common Factor of 89059 and 89064?

Greatest common factor (GCF) of 89059 and 89064 is 1.

GCF(89059,89064) = 1

We will now calculate the prime factors of 89059 and 89064, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89059 and 89064.

How to find the GCF of 89059 and 89064?

We will first find the prime factorization of 89059 and 89064. After we will calculate the factors of 89059 and 89064 and find the biggest common factor number .

Step-1: Prime Factorization of 89059

Prime factors of 89059 are 29, 37, 83. Prime factorization of 89059 in exponential form is:

89059 = 29¹ × 37¹ × 83¹

Step-2: Prime Factorization of 89064

Prime factors of 89064 are 2, 3, 1237. Prime factorization of 89064 in exponential form is:

89064 = 2³ × 3² × 1237¹

Step-3: Factors of 89059

List of positive integer factors of 89059 that divides 89059 without a remainder.

1, 29, 37, 83, 1073, 2407, 3071

Step-4: Factors of 89064

List of positive integer factors of 89064 that divides 89059 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1237, 2474, 3711, 4948, 7422, 9896, 11133, 14844, 22266, 29688, 44532

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89059 and 89064. The biggest common factor number is the GCF number.
So the greatest common factor 89059 and 89064 is 1.

Also check out the Least Common Multiple of 89059 and 89064