What is the Greatest Common Factor of 61074 and 61083?

Greatest common factor (GCF) of 61074 and 61083 is 9.

GCF(61074,61083) = 9

We will now calculate the prime factors of 61074 and 61083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61074 and 61083.

How to find the GCF of 61074 and 61083?

We will first find the prime factorization of 61074 and 61083. After we will calculate the factors of 61074 and 61083 and find the biggest common factor number .

Step-1: Prime Factorization of 61074

Prime factors of 61074 are 2, 3, 13, 29. Prime factorization of 61074 in exponential form is:

61074 = 2¹ × 3⁴ × 13¹ × 29¹

Step-2: Prime Factorization of 61083

Prime factors of 61083 are 3, 11, 617. Prime factorization of 61083 in exponential form is:

61083 = 3² × 11¹ × 617¹

Step-3: Factors of 61074

List of positive integer factors of 61074 that divides 61074 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 29, 39, 54, 58, 78, 81, 87, 117, 162, 174, 234, 261, 351, 377, 522, 702, 754, 783, 1053, 1131, 1566, 2106, 2262, 2349, 3393, 4698, 6786, 10179, 20358, 30537

Step-4: Factors of 61083

List of positive integer factors of 61083 that divides 61074 without a remainder.

1, 3, 9, 11, 33, 99, 617, 1851, 5553, 6787, 20361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61074 and 61083. The biggest common factor number is the GCF number.
So the greatest common factor 61074 and 61083 is 9.

Also check out the Least Common Multiple of 61074 and 61083