What is the Greatest Common Factor of 60522 and 60534?

Greatest common factor (GCF) of 60522 and 60534 is 6.

GCF(60522,60534) = 6

We will now calculate the prime factors of 60522 and 60534, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60522 and 60534.

How to find the GCF of 60522 and 60534?

We will first find the prime factorization of 60522 and 60534. After we will calculate the factors of 60522 and 60534 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 60534

Prime factors of 60534 are 2, 3, 19, 59. Prime factorization of 60534 in exponential form is:

60534 = 2¹ × 3³ × 19¹ × 59¹

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 60534

List of positive integer factors of 60534 that divides 60522 without a remainder.

1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 59, 114, 118, 171, 177, 342, 354, 513, 531, 1026, 1062, 1121, 1593, 2242, 3186, 3363, 6726, 10089, 20178, 30267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60522 and 60534. The biggest common factor number is the GCF number.
So the greatest common factor 60522 and 60534 is 6.

Also check out the Least Common Multiple of 60522 and 60534