What is the Greatest Common Factor of 87802 and 87815?

Greatest common factor (GCF) of 87802 and 87815 is 13.

GCF(87802,87815) = 13

We will now calculate the prime factors of 87802 and 87815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87802 and 87815.

How to find the GCF of 87802 and 87815?

We will first find the prime factorization of 87802 and 87815. After we will calculate the factors of 87802 and 87815 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 87815

Prime factors of 87815 are 5, 7, 13, 193. Prime factorization of 87815 in exponential form is:

87815 = 5¹ × 7¹ × 13¹ × 193¹

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 87815

List of positive integer factors of 87815 that divides 87802 without a remainder.

1, 5, 7, 13, 35, 65, 91, 193, 455, 965, 1351, 2509, 6755, 12545, 17563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87802 and 87815. The biggest common factor number is the GCF number.
So the greatest common factor 87802 and 87815 is 13.

Also check out the Least Common Multiple of 87802 and 87815