What is the Greatest Common Factor of 60905 and 60924?

Greatest common factor (GCF) of 60905 and 60924 is 1.

GCF(60905,60924) = 1

We will now calculate the prime factors of 60905 and 60924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60905 and 60924.

How to find the GCF of 60905 and 60924?

We will first find the prime factorization of 60905 and 60924. After we will calculate the factors of 60905 and 60924 and find the biggest common factor number .

Step-1: Prime Factorization of 60905

Prime factors of 60905 are 5, 13, 937. Prime factorization of 60905 in exponential form is:

60905 = 5¹ × 13¹ × 937¹

Step-2: Prime Factorization of 60924

Prime factors of 60924 are 2, 3, 5077. Prime factorization of 60924 in exponential form is:

60924 = 2² × 3¹ × 5077¹

Step-3: Factors of 60905

List of positive integer factors of 60905 that divides 60905 without a remainder.

1, 5, 13, 65, 937, 4685, 12181

Step-4: Factors of 60924

List of positive integer factors of 60924 that divides 60905 without a remainder.

1, 2, 3, 4, 6, 12, 5077, 10154, 15231, 20308, 30462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60905 and 60924. The biggest common factor number is the GCF number.
So the greatest common factor 60905 and 60924 is 1.

Also check out the Least Common Multiple of 60905 and 60924