What is the Greatest Common Factor of 61692 and 61704?

Greatest common factor (GCF) of 61692 and 61704 is 12.

GCF(61692,61704) = 12

We will now calculate the prime factors of 61692 and 61704, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61692 and 61704.

How to find the GCF of 61692 and 61704?

We will first find the prime factorization of 61692 and 61704. After we will calculate the factors of 61692 and 61704 and find the biggest common factor number .

Step-1: Prime Factorization of 61692

Prime factors of 61692 are 2, 3, 53, 97. Prime factorization of 61692 in exponential form is:

61692 = 2² × 3¹ × 53¹ × 97¹

Step-2: Prime Factorization of 61704

Prime factors of 61704 are 2, 3, 857. Prime factorization of 61704 in exponential form is:

61704 = 2³ × 3² × 857¹

Step-3: Factors of 61692

List of positive integer factors of 61692 that divides 61692 without a remainder.

1, 2, 3, 4, 6, 12, 53, 97, 106, 159, 194, 212, 291, 318, 388, 582, 636, 1164, 5141, 10282, 15423, 20564, 30846

Step-4: Factors of 61704

List of positive integer factors of 61704 that divides 61692 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 857, 1714, 2571, 3428, 5142, 6856, 7713, 10284, 15426, 20568, 30852

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61692 and 61704. The biggest common factor number is the GCF number.
So the greatest common factor 61692 and 61704 is 12.

Also check out the Least Common Multiple of 61692 and 61704