What is the Greatest Common Factor of 60522 and 60533?

Greatest common factor (GCF) of 60522 and 60533 is 11.

GCF(60522,60533) = 11

We will now calculate the prime factors of 60522 and 60533, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60522 and 60533.

How to find the GCF of 60522 and 60533?

We will first find the prime factorization of 60522 and 60533. After we will calculate the factors of 60522 and 60533 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 60533

Prime factors of 60533 are 11, 5503. Prime factorization of 60533 in exponential form is:

60533 = 11¹ × 5503¹

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 60533

List of positive integer factors of 60533 that divides 60522 without a remainder.

1, 11, 5503

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60522 and 60533. The biggest common factor number is the GCF number.
So the greatest common factor 60522 and 60533 is 11.

Also check out the Least Common Multiple of 60522 and 60533