What is the Greatest Common Factor of 87936 and 87949?

Greatest common factor (GCF) of 87936 and 87949 is 1.

GCF(87936,87949) = 1

We will now calculate the prime factors of 87936 and 87949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87936 and 87949.

How to find the GCF of 87936 and 87949?

We will first find the prime factorization of 87936 and 87949. After we will calculate the factors of 87936 and 87949 and find the biggest common factor number .

Step-1: Prime Factorization of 87936

Prime factors of 87936 are 2, 3, 229. Prime factorization of 87936 in exponential form is:

87936 = 2⁷ × 3¹ × 229¹

Step-2: Prime Factorization of 87949

Prime factors of 87949 are 37, 2377. Prime factorization of 87949 in exponential form is:

87949 = 37¹ × 2377¹

Step-3: Factors of 87936

List of positive integer factors of 87936 that divides 87936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 229, 384, 458, 687, 916, 1374, 1832, 2748, 3664, 5496, 7328, 10992, 14656, 21984, 29312, 43968

Step-4: Factors of 87949

List of positive integer factors of 87949 that divides 87936 without a remainder.

1, 37, 2377

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87936 and 87949. The biggest common factor number is the GCF number.
So the greatest common factor 87936 and 87949 is 1.

Also check out the Least Common Multiple of 87936 and 87949