What is the Greatest Common Factor of 60949 and 60960?

Greatest common factor (GCF) of 60949 and 60960 is 1.

GCF(60949,60960) = 1

We will now calculate the prime factors of 60949 and 60960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60949 and 60960.

How to find the GCF of 60949 and 60960?

We will first find the prime factorization of 60949 and 60960. After we will calculate the factors of 60949 and 60960 and find the biggest common factor number .

Step-1: Prime Factorization of 60949

Prime factors of 60949 are 7, 8707. Prime factorization of 60949 in exponential form is:

60949 = 7¹ × 8707¹

Step-2: 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-3: Factors of 60949

List of positive integer factors of 60949 that divides 60949 without a remainder.

1, 7, 8707

Step-4: Factors of 60960

List of positive integer factors of 60960 that divides 60949 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60949 and 60960. The biggest common factor number is the GCF number.
So the greatest common factor 60949 and 60960 is 1.

Also check out the Least Common Multiple of 60949 and 60960