What is the Greatest Common Factor of 60924 and 60940?

Greatest common factor (GCF) of 60924 and 60940 is 4.

GCF(60924,60940) = 4

We will now calculate the prime factors of 60924 and 60940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60924 and 60940.

How to find the GCF of 60924 and 60940?

We will first find the prime factorization of 60924 and 60940. After we will calculate the factors of 60924 and 60940 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60940

Prime factors of 60940 are 2, 5, 11, 277. Prime factorization of 60940 in exponential form is:

60940 = 2² × 5¹ × 11¹ × 277¹

Step-3: Factors of 60924

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

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

Step-4: Factors of 60940

List of positive integer factors of 60940 that divides 60924 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 277, 554, 1108, 1385, 2770, 3047, 5540, 6094, 12188, 15235, 30470

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60924 and 60940. The biggest common factor number is the GCF number.
So the greatest common factor 60924 and 60940 is 4.

Also check out the Least Common Multiple of 60924 and 60940