What is the Greatest Common Factor of 60522 and 60531?

Greatest common factor (GCF) of 60522 and 60531 is 3.

GCF(60522,60531) = 3

We will now calculate the prime factors of 60522 and 60531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60522 and 60531.

How to find the GCF of 60522 and 60531?

We will first find the prime factorization of 60522 and 60531. After we will calculate the factors of 60522 and 60531 and find the biggest common factor number .

Step-1: Prime Factorization of 60522

Prime factors of 60522 are 2, 3, 7, 11, 131. Prime factorization of 60522 in exponential form is:

60522 = 2¹ × 3¹ × 7¹ × 11¹ × 131¹

Step-2: Prime Factorization of 60531

Prime factors of 60531 are 3, 20177. Prime factorization of 60531 in exponential form is:

60531 = 3¹ × 20177¹

Step-3: Factors of 60522

List of positive integer factors of 60522 that divides 60522 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 131, 154, 231, 262, 393, 462, 786, 917, 1441, 1834, 2751, 2882, 4323, 5502, 8646, 10087, 20174, 30261

Step-4: Factors of 60531

List of positive integer factors of 60531 that divides 60522 without a remainder.

1, 3, 20177

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60522 and 60531. The biggest common factor number is the GCF number.
So the greatest common factor 60522 and 60531 is 3.

Also check out the Least Common Multiple of 60522 and 60531