What is the Greatest Common Factor of 64946 and 64960?

Greatest common factor (GCF) of 64946 and 64960 is 14.

GCF(64946,64960) = 14

We will now calculate the prime factors of 64946 and 64960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64946 and 64960.

How to find the GCF of 64946 and 64960?

We will first find the prime factorization of 64946 and 64960. After we will calculate the factors of 64946 and 64960 and find the biggest common factor number .

Step-1: Prime Factorization of 64946

Prime factors of 64946 are 2, 7, 4639. Prime factorization of 64946 in exponential form is:

64946 = 2¹ × 7¹ × 4639¹

Step-2: Prime Factorization of 64960

Prime factors of 64960 are 2, 5, 7, 29. Prime factorization of 64960 in exponential form is:

64960 = 2⁶ × 5¹ × 7¹ × 29¹

Step-3: Factors of 64946

List of positive integer factors of 64946 that divides 64946 without a remainder.

1, 2, 7, 14, 4639, 9278, 32473

Step-4: Factors of 64960

List of positive integer factors of 64960 that divides 64946 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 29, 32, 35, 40, 56, 58, 64, 70, 80, 112, 116, 140, 145, 160, 203, 224, 232, 280, 290, 320, 406, 448, 464, 560, 580, 812, 928, 1015, 1120, 1160, 1624, 1856, 2030, 2240, 2320, 3248, 4060, 4640, 6496, 8120, 9280, 12992, 16240, 32480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64946 and 64960. The biggest common factor number is the GCF number.
So the greatest common factor 64946 and 64960 is 14.

Also check out the Least Common Multiple of 64946 and 64960