What is the Greatest Common Factor of 61074 and 61092?

Greatest common factor (GCF) of 61074 and 61092 is 18.

GCF(61074,61092) = 18

We will now calculate the prime factors of 61074 and 61092, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61074 and 61092.

How to find the GCF of 61074 and 61092?

We will first find the prime factorization of 61074 and 61092. After we will calculate the factors of 61074 and 61092 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 61092

Prime factors of 61092 are 2, 3, 1697. Prime factorization of 61092 in exponential form is:

61092 = 2² × 3² × 1697¹

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 61092

List of positive integer factors of 61092 that divides 61074 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1697, 3394, 5091, 6788, 10182, 15273, 20364, 30546

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61074 and 61092. The biggest common factor number is the GCF number.
So the greatest common factor 61074 and 61092 is 18.

Also check out the Least Common Multiple of 61074 and 61092