What is the Greatest Common Factor of 60546 and 60560?

Greatest common factor (GCF) of 60546 and 60560 is 2.

GCF(60546,60560) = 2

We will now calculate the prime factors of 60546 and 60560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60546 and 60560.

How to find the GCF of 60546 and 60560?

We will first find the prime factorization of 60546 and 60560. After we will calculate the factors of 60546 and 60560 and find the biggest common factor number .

Step-1: Prime Factorization of 60546

Prime factors of 60546 are 2, 3, 10091. Prime factorization of 60546 in exponential form is:

60546 = 2¹ × 3¹ × 10091¹

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 60546

List of positive integer factors of 60546 that divides 60546 without a remainder.

1, 2, 3, 6, 10091, 20182, 30273

Step-4: Factors of 60560

List of positive integer factors of 60560 that divides 60546 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 60546 and 60560. The biggest common factor number is the GCF number.
So the greatest common factor 60546 and 60560 is 2.

Also check out the Least Common Multiple of 60546 and 60560