What is the Greatest Common Factor of 60516 and 60522?

Greatest common factor (GCF) of 60516 and 60522 is 6.

GCF(60516,60522) = 6

We will now calculate the prime factors of 60516 and 60522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60516 and 60522.

How to find the GCF of 60516 and 60522?

We will first find the prime factorization of 60516 and 60522. After we will calculate the factors of 60516 and 60522 and find the biggest common factor number .

Step-1: Prime Factorization of 60516

Prime factors of 60516 are 2, 3, 41. Prime factorization of 60516 in exponential form is:

60516 = 2² × 3² × 41²

Step-2: 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-3: Factors of 60516

List of positive integer factors of 60516 that divides 60516 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 246, 369, 492, 738, 1476, 1681, 3362, 5043, 6724, 10086, 15129, 20172, 30258

Step-4: Factors of 60522

List of positive integer factors of 60522 that divides 60516 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60516 and 60522. The biggest common factor number is the GCF number.
So the greatest common factor 60516 and 60522 is 6.

Also check out the Least Common Multiple of 60516 and 60522