What is the Greatest Common Factor of 39872 and 39884?

Greatest common factor (GCF) of 39872 and 39884 is 4.

GCF(39872,39884) = 4

We will now calculate the prime factors of 39872 and 39884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39872 and 39884.

How to find the GCF of 39872 and 39884?

We will first find the prime factorization of 39872 and 39884. After we will calculate the factors of 39872 and 39884 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 39884

Prime factors of 39884 are 2, 13, 59. Prime factorization of 39884 in exponential form is:

39884 = 2² × 13² × 59¹

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 39884

List of positive integer factors of 39884 that divides 39872 without a remainder.

1, 2, 4, 13, 26, 52, 59, 118, 169, 236, 338, 676, 767, 1534, 3068, 9971, 19942

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39872 and 39884. The biggest common factor number is the GCF number.
So the greatest common factor 39872 and 39884 is 4.

Also check out the Least Common Multiple of 39872 and 39884