What is the Greatest Common Factor of 39872 and 39890?

Greatest common factor (GCF) of 39872 and 39890 is 2.

GCF(39872,39890) = 2

We will now calculate the prime factors of 39872 and 39890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39872 and 39890.

How to find the GCF of 39872 and 39890?

We will first find the prime factorization of 39872 and 39890. After we will calculate the factors of 39872 and 39890 and find the biggest common factor number .

Step-1: Prime Factorization of 39872

Prime factors of 39872 are 2, 7, 89. Prime factorization of 39872 in exponential form is:

39872 = 2⁶ × 7¹ × 89¹

Step-2: Prime Factorization of 39890

Prime factors of 39890 are 2, 5, 3989. Prime factorization of 39890 in exponential form is:

39890 = 2¹ × 5¹ × 3989¹

Step-3: Factors of 39872

List of positive integer factors of 39872 that divides 39872 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 89, 112, 178, 224, 356, 448, 623, 712, 1246, 1424, 2492, 2848, 4984, 5696, 9968, 19936

Step-4: Factors of 39890

List of positive integer factors of 39890 that divides 39872 without a remainder.

1, 2, 5, 10, 3989, 7978, 19945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39872 and 39890. The biggest common factor number is the GCF number.
So the greatest common factor 39872 and 39890 is 2.

Also check out the Least Common Multiple of 39872 and 39890