What is the Greatest Common Factor of 60960 and 60973?

Greatest common factor (GCF) of 60960 and 60973 is 1.

GCF(60960,60973) = 1

We will now calculate the prime factors of 60960 and 60973, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60960 and 60973.

How to find the GCF of 60960 and 60973?

We will first find the prime factorization of 60960 and 60973. After we will calculate the factors of 60960 and 60973 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 60973

Prime factors of 60973 are 11, 23, 241. Prime factorization of 60973 in exponential form is:

60973 = 11¹ × 23¹ × 241¹

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 60973

List of positive integer factors of 60973 that divides 60960 without a remainder.

1, 11, 23, 241, 253, 2651, 5543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60960 and 60973. The biggest common factor number is the GCF number.
So the greatest common factor 60960 and 60973 is 1.

Also check out the Least Common Multiple of 60960 and 60973