What is the Greatest Common Factor of 64960 and 64964?

Greatest common factor (GCF) of 64960 and 64964 is 4.

GCF(64960,64964) = 4

We will now calculate the prime factors of 64960 and 64964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64960 and 64964.

How to find the GCF of 64960 and 64964?

We will first find the prime factorization of 64960 and 64964. After we will calculate the factors of 64960 and 64964 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 64964

Prime factors of 64964 are 2, 109, 149. Prime factorization of 64964 in exponential form is:

64964 = 2² × 109¹ × 149¹

Step-3: Factors of 64960

List of positive integer factors of 64960 that divides 64960 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

Step-4: Factors of 64964

List of positive integer factors of 64964 that divides 64960 without a remainder.

1, 2, 4, 109, 149, 218, 298, 436, 596, 16241, 32482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64960 and 64964. The biggest common factor number is the GCF number.
So the greatest common factor 64960 and 64964 is 4.

Also check out the Least Common Multiple of 64960 and 64964