What is the Greatest Common Factor of 60786 and 60797?

Greatest common factor (GCF) of 60786 and 60797 is 11.

GCF(60786,60797) = 11

We will now calculate the prime factors of 60786 and 60797, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60786 and 60797.

How to find the GCF of 60786 and 60797?

We will first find the prime factorization of 60786 and 60797. After we will calculate the factors of 60786 and 60797 and find the biggest common factor number .

Step-1: Prime Factorization of 60786

Prime factors of 60786 are 2, 3, 11, 307. Prime factorization of 60786 in exponential form is:

60786 = 2¹ × 3² × 11¹ × 307¹

Step-2: Prime Factorization of 60797

Prime factors of 60797 are 11, 5527. Prime factorization of 60797 in exponential form is:

60797 = 11¹ × 5527¹

Step-3: Factors of 60786

List of positive integer factors of 60786 that divides 60786 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 307, 614, 921, 1842, 2763, 3377, 5526, 6754, 10131, 20262, 30393

Step-4: Factors of 60797

List of positive integer factors of 60797 that divides 60786 without a remainder.

1, 11, 5527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60786 and 60797. The biggest common factor number is the GCF number.
So the greatest common factor 60786 and 60797 is 11.

Also check out the Least Common Multiple of 60786 and 60797