What is the Greatest Common Factor of 64960 and 64965?

Greatest common factor (GCF) of 64960 and 64965 is 5.

GCF(64960,64965) = 5

We will now calculate the prime factors of 64960 and 64965, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64960 and 64965.

How to find the GCF of 64960 and 64965?

We will first find the prime factorization of 64960 and 64965. After we will calculate the factors of 64960 and 64965 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 64965

Prime factors of 64965 are 3, 5, 61, 71. Prime factorization of 64965 in exponential form is:

64965 = 3¹ × 5¹ × 61¹ × 71¹

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 64965

List of positive integer factors of 64965 that divides 64960 without a remainder.

1, 3, 5, 15, 61, 71, 183, 213, 305, 355, 915, 1065, 4331, 12993, 21655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64960 and 64965. The biggest common factor number is the GCF number.
So the greatest common factor 64960 and 64965 is 5.

Also check out the Least Common Multiple of 64960 and 64965