What is the Greatest Common Factor of 64923 and 64940?

Greatest common factor (GCF) of 64923 and 64940 is 17.

GCF(64923,64940) = 17

We will now calculate the prime factors of 64923 and 64940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64923 and 64940.

How to find the GCF of 64923 and 64940?

We will first find the prime factorization of 64923 and 64940. After we will calculate the factors of 64923 and 64940 and find the biggest common factor number .

Step-1: Prime Factorization of 64923

Prime factors of 64923 are 3, 17, 19, 67. Prime factorization of 64923 in exponential form is:

64923 = 3¹ × 17¹ × 19¹ × 67¹

Step-2: Prime Factorization of 64940

Prime factors of 64940 are 2, 5, 17, 191. Prime factorization of 64940 in exponential form is:

64940 = 2² × 5¹ × 17¹ × 191¹

Step-3: Factors of 64923

List of positive integer factors of 64923 that divides 64923 without a remainder.

1, 3, 17, 19, 51, 57, 67, 201, 323, 969, 1139, 1273, 3417, 3819, 21641

Step-4: Factors of 64940

List of positive integer factors of 64940 that divides 64923 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 191, 340, 382, 764, 955, 1910, 3247, 3820, 6494, 12988, 16235, 32470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64923 and 64940. The biggest common factor number is the GCF number.
So the greatest common factor 64923 and 64940 is 17.

Also check out the Least Common Multiple of 64923 and 64940