What is the Greatest Common Factor of 60537 and 60546?

Greatest common factor (GCF) of 60537 and 60546 is 3.

GCF(60537,60546) = 3

We will now calculate the prime factors of 60537 and 60546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60537 and 60546.

How to find the GCF of 60537 and 60546?

We will first find the prime factorization of 60537 and 60546. After we will calculate the factors of 60537 and 60546 and find the biggest common factor number .

Step-1: Prime Factorization of 60537

Prime factors of 60537 are 3, 17, 1187. Prime factorization of 60537 in exponential form is:

60537 = 3¹ × 17¹ × 1187¹

Step-2: 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-3: Factors of 60537

List of positive integer factors of 60537 that divides 60537 without a remainder.

1, 3, 17, 51, 1187, 3561, 20179

Step-4: Factors of 60546

List of positive integer factors of 60546 that divides 60537 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60537 and 60546. The biggest common factor number is the GCF number.
So the greatest common factor 60537 and 60546 is 3.

Also check out the Least Common Multiple of 60537 and 60546