What is the Greatest Common Factor of 60522 and 60538?

Greatest common factor (GCF) of 60522 and 60538 is 2.

GCF(60522,60538) = 2

We will now calculate the prime factors of 60522 and 60538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60522 and 60538.

How to find the GCF of 60522 and 60538?

We will first find the prime factorization of 60522 and 60538. After we will calculate the factors of 60522 and 60538 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 60538

Prime factors of 60538 are 2, 30269. Prime factorization of 60538 in exponential form is:

60538 = 2¹ × 30269¹

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 60538

List of positive integer factors of 60538 that divides 60522 without a remainder.

1, 2, 30269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60522 and 60538. The biggest common factor number is the GCF number.
So the greatest common factor 60522 and 60538 is 2.

Also check out the Least Common Multiple of 60522 and 60538