What is the Greatest Common Factor of 39840 and 39854?

Greatest common factor (GCF) of 39840 and 39854 is 2.

GCF(39840,39854) = 2

We will now calculate the prime factors of 39840 and 39854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39840 and 39854.

How to find the GCF of 39840 and 39854?

We will first find the prime factorization of 39840 and 39854. After we will calculate the factors of 39840 and 39854 and find the biggest common factor number .

Step-1: Prime Factorization of 39840

Prime factors of 39840 are 2, 3, 5, 83. Prime factorization of 39840 in exponential form is:

39840 = 2⁵ × 3¹ × 5¹ × 83¹

Step-2: Prime Factorization of 39854

Prime factors of 39854 are 2, 19927. Prime factorization of 39854 in exponential form is:

39854 = 2¹ × 19927¹

Step-3: Factors of 39840

List of positive integer factors of 39840 that divides 39840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 83, 96, 120, 160, 166, 240, 249, 332, 415, 480, 498, 664, 830, 996, 1245, 1328, 1660, 1992, 2490, 2656, 3320, 3984, 4980, 6640, 7968, 9960, 13280, 19920

Step-4: Factors of 39854

List of positive integer factors of 39854 that divides 39840 without a remainder.

1, 2, 19927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39840 and 39854. The biggest common factor number is the GCF number.
So the greatest common factor 39840 and 39854 is 2.

Also check out the Least Common Multiple of 39840 and 39854