What is the Greatest Common Factor of 64940 and 64945?

Greatest common factor (GCF) of 64940 and 64945 is 5.

GCF(64940,64945) = 5

We will now calculate the prime factors of 64940 and 64945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64940 and 64945.

How to find the GCF of 64940 and 64945?

We will first find the prime factorization of 64940 and 64945. After we will calculate the factors of 64940 and 64945 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64945

Prime factors of 64945 are 5, 31, 419. Prime factorization of 64945 in exponential form is:

64945 = 5¹ × 31¹ × 419¹

Step-3: Factors of 64940

List of positive integer factors of 64940 that divides 64940 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

Step-4: Factors of 64945

List of positive integer factors of 64945 that divides 64940 without a remainder.

1, 5, 31, 155, 419, 2095, 12989

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64940 and 64945. The biggest common factor number is the GCF number.
So the greatest common factor 64940 and 64945 is 5.

Also check out the Least Common Multiple of 64940 and 64945