What is the Greatest Common Factor of 64070 and 64089?

Greatest common factor (GCF) of 64070 and 64089 is 1.

GCF(64070,64089) = 1

We will now calculate the prime factors of 64070 and 64089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64070 and 64089.

How to find the GCF of 64070 and 64089?

We will first find the prime factorization of 64070 and 64089. After we will calculate the factors of 64070 and 64089 and find the biggest common factor number .

Step-1: Prime Factorization of 64070

Prime factors of 64070 are 2, 5, 43, 149. Prime factorization of 64070 in exponential form is:

64070 = 2¹ × 5¹ × 43¹ × 149¹

Step-2: Prime Factorization of 64089

Prime factors of 64089 are 3, 7121. Prime factorization of 64089 in exponential form is:

64089 = 3² × 7121¹

Step-3: Factors of 64070

List of positive integer factors of 64070 that divides 64070 without a remainder.

1, 2, 5, 10, 43, 86, 149, 215, 298, 430, 745, 1490, 6407, 12814, 32035

Step-4: Factors of 64089

List of positive integer factors of 64089 that divides 64070 without a remainder.

1, 3, 9, 7121, 21363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64070 and 64089. The biggest common factor number is the GCF number.
So the greatest common factor 64070 and 64089 is 1.

Also check out the Least Common Multiple of 64070 and 64089