What is the Greatest Common Factor of 60540 and 60560?

Greatest common factor (GCF) of 60540 and 60560 is 20.

GCF(60540,60560) = 20

We will now calculate the prime factors of 60540 and 60560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60540 and 60560.

How to find the GCF of 60540 and 60560?

We will first find the prime factorization of 60540 and 60560. After we will calculate the factors of 60540 and 60560 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 60560

Prime factors of 60560 are 2, 5, 757. Prime factorization of 60560 in exponential form is:

60560 = 2⁴ × 5¹ × 757¹

Step-3: Factors of 60540

List of positive integer factors of 60540 that divides 60540 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

Step-4: Factors of 60560

List of positive integer factors of 60560 that divides 60540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 757, 1514, 3028, 3785, 6056, 7570, 12112, 15140, 30280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60540 and 60560. The biggest common factor number is the GCF number.
So the greatest common factor 60540 and 60560 is 20.

Also check out the Least Common Multiple of 60540 and 60560