What is the Greatest Common Factor of 55692 and 55699?

Greatest common factor (GCF) of 55692 and 55699 is 7.

GCF(55692,55699) = 7

We will now calculate the prime factors of 55692 and 55699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55692 and 55699.

How to find the GCF of 55692 and 55699?

We will first find the prime factorization of 55692 and 55699. After we will calculate the factors of 55692 and 55699 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 55699

Prime factors of 55699 are 7, 73, 109. Prime factorization of 55699 in exponential form is:

55699 = 7¹ × 73¹ × 109¹

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 55699

List of positive integer factors of 55699 that divides 55692 without a remainder.

1, 7, 73, 109, 511, 763, 7957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55692 and 55699. The biggest common factor number is the GCF number.
So the greatest common factor 55692 and 55699 is 7.

Also check out the Least Common Multiple of 55692 and 55699