What is the Greatest Common Factor of 68960 and 68975?

Greatest common factor (GCF) of 68960 and 68975 is 5.

GCF(68960,68975) = 5

We will now calculate the prime factors of 68960 and 68975, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68960 and 68975.

How to find the GCF of 68960 and 68975?

We will first find the prime factorization of 68960 and 68975. After we will calculate the factors of 68960 and 68975 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 68975

Prime factors of 68975 are 5, 31, 89. Prime factorization of 68975 in exponential form is:

68975 = 5² × 31¹ × 89¹

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 68975

List of positive integer factors of 68975 that divides 68960 without a remainder.

1, 5, 25, 31, 89, 155, 445, 775, 2225, 2759, 13795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68960 and 68975. The biggest common factor number is the GCF number.
So the greatest common factor 68960 and 68975 is 5.

Also check out the Least Common Multiple of 68960 and 68975