What is the Greatest Common Factor of 96950 and 96960?

Greatest common factor (GCF) of 96950 and 96960 is 10.

GCF(96950,96960) = 10

We will now calculate the prime factors of 96950 and 96960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96950 and 96960.

How to find the GCF of 96950 and 96960?

We will first find the prime factorization of 96950 and 96960. After we will calculate the factors of 96950 and 96960 and find the biggest common factor number .

Step-1: Prime Factorization of 96950

Prime factors of 96950 are 2, 5, 7, 277. Prime factorization of 96950 in exponential form is:

96950 = 2¹ × 5² × 7¹ × 277¹

Step-2: Prime Factorization of 96960

Prime factors of 96960 are 2, 3, 5, 101. Prime factorization of 96960 in exponential form is:

96960 = 2⁶ × 3¹ × 5¹ × 101¹

Step-3: Factors of 96950

List of positive integer factors of 96950 that divides 96950 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 277, 350, 554, 1385, 1939, 2770, 3878, 6925, 9695, 13850, 19390, 48475

Step-4: Factors of 96960

List of positive integer factors of 96960 that divides 96950 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 101, 120, 160, 192, 202, 240, 303, 320, 404, 480, 505, 606, 808, 960, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 3232, 4040, 4848, 6060, 6464, 8080, 9696, 12120, 16160, 19392, 24240, 32320, 48480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96950 and 96960. The biggest common factor number is the GCF number.
So the greatest common factor 96950 and 96960 is 10.

Also check out the Least Common Multiple of 96950 and 96960