What is the Greatest Common Factor of 60535 and 60540?

Greatest common factor (GCF) of 60535 and 60540 is 5.

GCF(60535,60540) = 5

We will now calculate the prime factors of 60535 and 60540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60535 and 60540.

How to find the GCF of 60535 and 60540?

We will first find the prime factorization of 60535 and 60540. After we will calculate the factors of 60535 and 60540 and find the biggest common factor number .

Step-1: Prime Factorization of 60535

Prime factors of 60535 are 5, 12107. Prime factorization of 60535 in exponential form is:

60535 = 5¹ × 12107¹

Step-2: Prime Factorization of 60540

Prime factors of 60540 are 2, 3, 5, 1009. Prime factorization of 60540 in exponential form is:

60540 = 2² × 3¹ × 5¹ × 1009¹

Step-3: Factors of 60535

List of positive integer factors of 60535 that divides 60535 without a remainder.

1, 5, 12107

Step-4: Factors of 60540

List of positive integer factors of 60540 that divides 60535 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1009, 2018, 3027, 4036, 5045, 6054, 10090, 12108, 15135, 20180, 30270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60535 and 60540. The biggest common factor number is the GCF number.
So the greatest common factor 60535 and 60540 is 5.

Also check out the Least Common Multiple of 60535 and 60540