What is the Greatest Common Factor of 55692 and 55709?

Greatest common factor (GCF) of 55692 and 55709 is 17.

GCF(55692,55709) = 17

We will now calculate the prime factors of 55692 and 55709, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55692 and 55709.

How to find the GCF of 55692 and 55709?

We will first find the prime factorization of 55692 and 55709. After we will calculate the factors of 55692 and 55709 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 55709

Prime factors of 55709 are 17, 29, 113. Prime factorization of 55709 in exponential form is:

55709 = 17¹ × 29¹ × 113¹

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 55709

List of positive integer factors of 55709 that divides 55692 without a remainder.

1, 17, 29, 113, 493, 1921, 3277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55692 and 55709. The biggest common factor number is the GCF number.
So the greatest common factor 55692 and 55709 is 17.

Also check out the Least Common Multiple of 55692 and 55709