What is the Greatest Common Factor of 95802 and 95816?

Greatest common factor (GCF) of 95802 and 95816 is 14.

GCF(95802,95816) = 14

We will now calculate the prime factors of 95802 and 95816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 95802 and 95816.

How to find the GCF of 95802 and 95816?

We will first find the prime factorization of 95802 and 95816. After we will calculate the factors of 95802 and 95816 and find the biggest common factor number .

Step-1: Prime Factorization of 95802

Prime factors of 95802 are 2, 3, 7, 2281. Prime factorization of 95802 in exponential form is:

95802 = 2¹ × 3¹ × 7¹ × 2281¹

Step-2: Prime Factorization of 95816

Prime factors of 95816 are 2, 7, 29, 59. Prime factorization of 95816 in exponential form is:

95816 = 2³ × 7¹ × 29¹ × 59¹

Step-3: Factors of 95802

List of positive integer factors of 95802 that divides 95802 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 2281, 4562, 6843, 13686, 15967, 31934, 47901

Step-4: Factors of 95816

List of positive integer factors of 95816 that divides 95802 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 59, 116, 118, 203, 232, 236, 406, 413, 472, 812, 826, 1624, 1652, 1711, 3304, 3422, 6844, 11977, 13688, 23954, 47908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 95802 and 95816. The biggest common factor number is the GCF number.
So the greatest common factor 95802 and 95816 is 14.

Also check out the Least Common Multiple of 95802 and 95816