What is the Greatest Common Factor of 89029 and 89048?

Greatest common factor (GCF) of 89029 and 89048 is 1.

GCF(89029,89048) = 1

We will now calculate the prime factors of 89029 and 89048, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89029 and 89048.

How to find the GCF of 89029 and 89048?

We will first find the prime factorization of 89029 and 89048. After we will calculate the factors of 89029 and 89048 and find the biggest common factor number .

Step-1: Prime Factorization of 89029

Prime factors of 89029 are 17, 5237. Prime factorization of 89029 in exponential form is:

89029 = 17¹ × 5237¹

Step-2: Prime Factorization of 89048

Prime factors of 89048 are 2, 11131. Prime factorization of 89048 in exponential form is:

89048 = 2³ × 11131¹

Step-3: Factors of 89029

List of positive integer factors of 89029 that divides 89029 without a remainder.

1, 17, 5237

Step-4: Factors of 89048

List of positive integer factors of 89048 that divides 89029 without a remainder.

1, 2, 4, 8, 11131, 22262, 44524

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89029 and 89048. The biggest common factor number is the GCF number.
So the greatest common factor 89029 and 89048 is 1.

Also check out the Least Common Multiple of 89029 and 89048