What is the Greatest Common Factor of 55692 and 55705?

Greatest common factor (GCF) of 55692 and 55705 is 13.

GCF(55692,55705) = 13

We will now calculate the prime factors of 55692 and 55705, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55692 and 55705.

How to find the GCF of 55692 and 55705?

We will first find the prime factorization of 55692 and 55705. After we will calculate the factors of 55692 and 55705 and find the biggest common factor number .

Step-1: Prime Factorization of 55692

Prime factors of 55692 are 2, 3, 7, 13, 17. Prime factorization of 55692 in exponential form is:

55692 = 2² × 3² × 7¹ × 13¹ × 17¹

Step-2: Prime Factorization of 55705

Prime factors of 55705 are 5, 13, 857. Prime factorization of 55705 in exponential form is:

55705 = 5¹ × 13¹ × 857¹

Step-3: Factors of 55692

List of positive integer factors of 55692 that divides 55692 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 17, 18, 21, 26, 28, 34, 36, 39, 42, 51, 52, 63, 68, 78, 84, 91, 102, 117, 119, 126, 153, 156, 182, 204, 221, 234, 238, 252, 273, 306, 357, 364, 442, 468, 476, 546, 612, 663, 714, 819, 884, 1071, 1092, 1326, 1428, 1547, 1638, 1989, 2142, 2652, 3094, 3276, 3978, 4284, 4641, 6188, 7956, 9282, 13923, 18564, 27846

Step-4: Factors of 55705

List of positive integer factors of 55705 that divides 55692 without a remainder.

1, 5, 13, 65, 857, 4285, 11141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55692 and 55705. The biggest common factor number is the GCF number.
So the greatest common factor 55692 and 55705 is 13.

Also check out the Least Common Multiple of 55692 and 55705