What is the Greatest Common Factor of 60960 and 60968?

Greatest common factor (GCF) of 60960 and 60968 is 8.

GCF(60960,60968) = 8

We will now calculate the prime factors of 60960 and 60968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60960 and 60968.

How to find the GCF of 60960 and 60968?

We will first find the prime factorization of 60960 and 60968. After we will calculate the factors of 60960 and 60968 and find the biggest common factor number .

Step-1: Prime Factorization of 60960

Prime factors of 60960 are 2, 3, 5, 127. Prime factorization of 60960 in exponential form is:

60960 = 2⁵ × 3¹ × 5¹ × 127¹

Step-2: Prime Factorization of 60968

Prime factors of 60968 are 2, 7621. Prime factorization of 60968 in exponential form is:

60968 = 2³ × 7621¹

Step-3: Factors of 60960

List of positive integer factors of 60960 that divides 60960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 127, 160, 240, 254, 381, 480, 508, 635, 762, 1016, 1270, 1524, 1905, 2032, 2540, 3048, 3810, 4064, 5080, 6096, 7620, 10160, 12192, 15240, 20320, 30480

Step-4: Factors of 60968

List of positive integer factors of 60968 that divides 60960 without a remainder.

1, 2, 4, 8, 7621, 15242, 30484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60960 and 60968. The biggest common factor number is the GCF number.
So the greatest common factor 60960 and 60968 is 8.

Also check out the Least Common Multiple of 60960 and 60968