What is the Greatest Common Factor of 64890 and 64896?

Greatest common factor (GCF) of 64890 and 64896 is 6.

GCF(64890,64896) = 6

We will now calculate the prime factors of 64890 and 64896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64890 and 64896.

How to find the GCF of 64890 and 64896?

We will first find the prime factorization of 64890 and 64896. After we will calculate the factors of 64890 and 64896 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 64896

Prime factors of 64896 are 2, 3, 13. Prime factorization of 64896 in exponential form is:

64896 = 2⁷ × 3¹ × 13²

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 64896

List of positive integer factors of 64896 that divides 64890 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 169, 192, 208, 312, 338, 384, 416, 507, 624, 676, 832, 1014, 1248, 1352, 1664, 2028, 2496, 2704, 4056, 4992, 5408, 8112, 10816, 16224, 21632, 32448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64890 and 64896. The biggest common factor number is the GCF number.
So the greatest common factor 64890 and 64896 is 6.

Also check out the Least Common Multiple of 64890 and 64896