What is the Greatest Common Factor of 83936 and 83944?

Greatest common factor (GCF) of 83936 and 83944 is 8.

GCF(83936,83944) = 8

We will now calculate the prime factors of 83936 and 83944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83936 and 83944.

How to find the GCF of 83936 and 83944?

We will first find the prime factorization of 83936 and 83944. After we will calculate the factors of 83936 and 83944 and find the biggest common factor number .

Step-1: Prime Factorization of 83936

Prime factors of 83936 are 2, 43, 61. Prime factorization of 83936 in exponential form is:

83936 = 2⁵ × 43¹ × 61¹

Step-2: Prime Factorization of 83944

Prime factors of 83944 are 2, 7, 1499. Prime factorization of 83944 in exponential form is:

83944 = 2³ × 7¹ × 1499¹

Step-3: Factors of 83936

List of positive integer factors of 83936 that divides 83936 without a remainder.

1, 2, 4, 8, 16, 32, 43, 61, 86, 122, 172, 244, 344, 488, 688, 976, 1376, 1952, 2623, 5246, 10492, 20984, 41968

Step-4: Factors of 83944

List of positive integer factors of 83944 that divides 83936 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1499, 2998, 5996, 10493, 11992, 20986, 41972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83936 and 83944. The biggest common factor number is the GCF number.
So the greatest common factor 83936 and 83944 is 8.

Also check out the Least Common Multiple of 83936 and 83944