What is the Greatest Common Factor of 60537 and 60554?

Greatest common factor (GCF) of 60537 and 60554 is 17.

GCF(60537,60554) = 17

We will now calculate the prime factors of 60537 and 60554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60537 and 60554.

How to find the GCF of 60537 and 60554?

We will first find the prime factorization of 60537 and 60554. After we will calculate the factors of 60537 and 60554 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 60554

Prime factors of 60554 are 2, 13, 17, 137. Prime factorization of 60554 in exponential form is:

60554 = 2¹ × 13¹ × 17¹ × 137¹

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 60554

List of positive integer factors of 60554 that divides 60537 without a remainder.

1, 2, 13, 17, 26, 34, 137, 221, 274, 442, 1781, 2329, 3562, 4658, 30277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60537 and 60554. The biggest common factor number is the GCF number.
So the greatest common factor 60537 and 60554 is 17.

Also check out the Least Common Multiple of 60537 and 60554