What is the Greatest Common Factor of 87802 and 87814?

Greatest common factor (GCF) of 87802 and 87814 is 2.

GCF(87802,87814) = 2

We will now calculate the prime factors of 87802 and 87814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87802 and 87814.

How to find the GCF of 87802 and 87814?

We will first find the prime factorization of 87802 and 87814. After we will calculate the factors of 87802 and 87814 and find the biggest common factor number .

Step-1: Prime Factorization of 87802

Prime factors of 87802 are 2, 11, 13, 307. Prime factorization of 87802 in exponential form is:

87802 = 2¹ × 11¹ × 13¹ × 307¹

Step-2: Prime Factorization of 87814

Prime factors of 87814 are 2, 23, 83. Prime factorization of 87814 in exponential form is:

87814 = 2¹ × 23² × 83¹

Step-3: Factors of 87802

List of positive integer factors of 87802 that divides 87802 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 307, 614, 3377, 3991, 6754, 7982, 43901

Step-4: Factors of 87814

List of positive integer factors of 87814 that divides 87802 without a remainder.

1, 2, 23, 46, 83, 166, 529, 1058, 1909, 3818, 43907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87802 and 87814. The biggest common factor number is the GCF number.
So the greatest common factor 87802 and 87814 is 2.

Also check out the Least Common Multiple of 87802 and 87814