What is the Greatest Common Factor of 61092 and 61104?

Greatest common factor (GCF) of 61092 and 61104 is 12.

GCF(61092,61104) = 12

We will now calculate the prime factors of 61092 and 61104, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61092 and 61104.

How to find the GCF of 61092 and 61104?

We will first find the prime factorization of 61092 and 61104. After we will calculate the factors of 61092 and 61104 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 61104

Prime factors of 61104 are 2, 3, 19, 67. Prime factorization of 61104 in exponential form is:

61104 = 2⁴ × 3¹ × 19¹ × 67¹

Step-3: Factors of 61092

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

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

Step-4: Factors of 61104

List of positive integer factors of 61104 that divides 61092 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 67, 76, 114, 134, 152, 201, 228, 268, 304, 402, 456, 536, 804, 912, 1072, 1273, 1608, 2546, 3216, 3819, 5092, 7638, 10184, 15276, 20368, 30552

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61092 and 61104. The biggest common factor number is the GCF number.
So the greatest common factor 61092 and 61104 is 12.

Also check out the Least Common Multiple of 61092 and 61104