What is the Greatest Common Factor of 39802 and 39816?

Greatest common factor (GCF) of 39802 and 39816 is 14.

GCF(39802,39816) = 14

We will now calculate the prime factors of 39802 and 39816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39802 and 39816.

How to find the GCF of 39802 and 39816?

We will first find the prime factorization of 39802 and 39816. After we will calculate the factors of 39802 and 39816 and find the biggest common factor number .

Step-1: Prime Factorization of 39802

Prime factors of 39802 are 2, 7, 2843. Prime factorization of 39802 in exponential form is:

39802 = 2¹ × 7¹ × 2843¹

Step-2: Prime Factorization of 39816

Prime factors of 39816 are 2, 3, 7, 79. Prime factorization of 39816 in exponential form is:

39816 = 2³ × 3² × 7¹ × 79¹

Step-3: Factors of 39802

List of positive integer factors of 39802 that divides 39802 without a remainder.

1, 2, 7, 14, 2843, 5686, 19901

Step-4: Factors of 39816

List of positive integer factors of 39816 that divides 39802 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 79, 84, 126, 158, 168, 237, 252, 316, 474, 504, 553, 632, 711, 948, 1106, 1422, 1659, 1896, 2212, 2844, 3318, 4424, 4977, 5688, 6636, 9954, 13272, 19908

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39802 and 39816. The biggest common factor number is the GCF number.
So the greatest common factor 39802 and 39816 is 14.

Also check out the Least Common Multiple of 39802 and 39816