What is the Greatest Common Factor of 39872 and 39892?

Greatest common factor (GCF) of 39872 and 39892 is 4.

GCF(39872,39892) = 4

We will now calculate the prime factors of 39872 and 39892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39872 and 39892.

How to find the GCF of 39872 and 39892?

We will first find the prime factorization of 39872 and 39892. After we will calculate the factors of 39872 and 39892 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 39892

Prime factors of 39892 are 2, 9973. Prime factorization of 39892 in exponential form is:

39892 = 2² × 9973¹

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 39892

List of positive integer factors of 39892 that divides 39872 without a remainder.

1, 2, 4, 9973, 19946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39872 and 39892. The biggest common factor number is the GCF number.
So the greatest common factor 39872 and 39892 is 4.

Also check out the Least Common Multiple of 39872 and 39892