What is the Greatest Common Factor of 80652 and 80663?

Greatest common factor (GCF) of 80652 and 80663 is 11.

GCF(80652,80663) = 11

We will now calculate the prime factors of 80652 and 80663, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80652 and 80663.

How to find the GCF of 80652 and 80663?

We will first find the prime factorization of 80652 and 80663. After we will calculate the factors of 80652 and 80663 and find the biggest common factor number .

Step-1: Prime Factorization of 80652

Prime factors of 80652 are 2, 3, 11, 13, 47. Prime factorization of 80652 in exponential form is:

80652 = 2² × 3¹ × 11¹ × 13¹ × 47¹

Step-2: Prime Factorization of 80663

Prime factors of 80663 are 11, 7333. Prime factorization of 80663 in exponential form is:

80663 = 11¹ × 7333¹

Step-3: Factors of 80652

List of positive integer factors of 80652 that divides 80652 without a remainder.

1, 2, 3, 4, 6, 11, 12, 13, 22, 26, 33, 39, 44, 47, 52, 66, 78, 94, 132, 141, 143, 156, 188, 282, 286, 429, 517, 564, 572, 611, 858, 1034, 1222, 1551, 1716, 1833, 2068, 2444, 3102, 3666, 6204, 6721, 7332, 13442, 20163, 26884, 40326

Step-4: Factors of 80663

List of positive integer factors of 80663 that divides 80652 without a remainder.

1, 11, 7333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80652 and 80663. The biggest common factor number is the GCF number.
So the greatest common factor 80652 and 80663 is 11.

Also check out the Least Common Multiple of 80652 and 80663