What is the Greatest Common Factor of 60522 and 60540?

Greatest common factor (GCF) of 60522 and 60540 is 6.

GCF(60522,60540) = 6

We will now calculate the prime factors of 60522 and 60540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60522 and 60540.

How to find the GCF of 60522 and 60540?

We will first find the prime factorization of 60522 and 60540. After we will calculate the factors of 60522 and 60540 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 60540

Prime factors of 60540 are 2, 3, 5, 1009. Prime factorization of 60540 in exponential form is:

60540 = 2² × 3¹ × 5¹ × 1009¹

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 60540

List of positive integer factors of 60540 that divides 60522 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60522 and 60540. The biggest common factor number is the GCF number.
So the greatest common factor 60522 and 60540 is 6.

Also check out the Least Common Multiple of 60522 and 60540