What is the Greatest Common Factor of 76692 and 76703?

Greatest common factor (GCF) of 76692 and 76703 is 11.

GCF(76692,76703) = 11

We will now calculate the prime factors of 76692 and 76703, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76692 and 76703.

How to find the GCF of 76692 and 76703?

We will first find the prime factorization of 76692 and 76703. After we will calculate the factors of 76692 and 76703 and find the biggest common factor number .

Step-1: Prime Factorization of 76692

Prime factors of 76692 are 2, 3, 7, 11, 83. Prime factorization of 76692 in exponential form is:

76692 = 2² × 3¹ × 7¹ × 11¹ × 83¹

Step-2: Prime Factorization of 76703

Prime factors of 76703 are 11, 19, 367. Prime factorization of 76703 in exponential form is:

76703 = 11¹ × 19¹ × 367¹

Step-3: Factors of 76692

List of positive integer factors of 76692 that divides 76692 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 83, 84, 132, 154, 166, 231, 249, 308, 332, 462, 498, 581, 913, 924, 996, 1162, 1743, 1826, 2324, 2739, 3486, 3652, 5478, 6391, 6972, 10956, 12782, 19173, 25564, 38346

Step-4: Factors of 76703

List of positive integer factors of 76703 that divides 76692 without a remainder.

1, 11, 19, 209, 367, 4037, 6973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76692 and 76703. The biggest common factor number is the GCF number.
So the greatest common factor 76692 and 76703 is 11.

Also check out the Least Common Multiple of 76692 and 76703