What is the Greatest Common Factor of 64890 and 64909?

Greatest common factor (GCF) of 64890 and 64909 is 1.

GCF(64890,64909) = 1

We will now calculate the prime factors of 64890 and 64909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64890 and 64909.

How to find the GCF of 64890 and 64909?

We will first find the prime factorization of 64890 and 64909. After we will calculate the factors of 64890 and 64909 and find the biggest common factor number .

Step-1: Prime Factorization of 64890

Prime factors of 64890 are 2, 3, 5, 7, 103. Prime factorization of 64890 in exponential form is:

64890 = 2¹ × 3² × 5¹ × 7¹ × 103¹

Step-2: Prime Factorization of 64909

Prime factors of 64909 are 13, 4993. Prime factorization of 64909 in exponential form is:

64909 = 13¹ × 4993¹

Step-3: Factors of 64890

List of positive integer factors of 64890 that divides 64890 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 103, 105, 126, 206, 210, 309, 315, 515, 618, 630, 721, 927, 1030, 1442, 1545, 1854, 2163, 3090, 3605, 4326, 4635, 6489, 7210, 9270, 10815, 12978, 21630, 32445

Step-4: Factors of 64909

List of positive integer factors of 64909 that divides 64890 without a remainder.

1, 13, 4993

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64890 and 64909. The biggest common factor number is the GCF number.
So the greatest common factor 64890 and 64909 is 1.

Also check out the Least Common Multiple of 64890 and 64909