What is the Greatest Common Factor of 68960 and 68964?

Greatest common factor (GCF) of 68960 and 68964 is 4.

GCF(68960,68964) = 4

We will now calculate the prime factors of 68960 and 68964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68960 and 68964.

How to find the GCF of 68960 and 68964?

We will first find the prime factorization of 68960 and 68964. After we will calculate the factors of 68960 and 68964 and find the biggest common factor number .

Step-1: Prime Factorization of 68960

Prime factors of 68960 are 2, 5, 431. Prime factorization of 68960 in exponential form is:

68960 = 2⁵ × 5¹ × 431¹

Step-2: Prime Factorization of 68964

Prime factors of 68964 are 2, 3, 7, 821. Prime factorization of 68964 in exponential form is:

68964 = 2² × 3¹ × 7¹ × 821¹

Step-3: Factors of 68960

List of positive integer factors of 68960 that divides 68960 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 431, 862, 1724, 2155, 3448, 4310, 6896, 8620, 13792, 17240, 34480

Step-4: Factors of 68964

List of positive integer factors of 68964 that divides 68960 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 821, 1642, 2463, 3284, 4926, 5747, 9852, 11494, 17241, 22988, 34482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68960 and 68964. The biggest common factor number is the GCF number.
So the greatest common factor 68960 and 68964 is 4.

Also check out the Least Common Multiple of 68960 and 68964