What is the Greatest Common Factor of 83930 and 83936?

Greatest common factor (GCF) of 83930 and 83936 is 2.

GCF(83930,83936) = 2

We will now calculate the prime factors of 83930 and 83936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83930 and 83936.

How to find the GCF of 83930 and 83936?

We will first find the prime factorization of 83930 and 83936. After we will calculate the factors of 83930 and 83936 and find the biggest common factor number .

Step-1: Prime Factorization of 83930

Prime factors of 83930 are 2, 5, 7, 11, 109. Prime factorization of 83930 in exponential form is:

83930 = 2¹ × 5¹ × 7¹ × 11¹ × 109¹

Step-2: 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-3: Factors of 83930

List of positive integer factors of 83930 that divides 83930 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 109, 110, 154, 218, 385, 545, 763, 770, 1090, 1199, 1526, 2398, 3815, 5995, 7630, 8393, 11990, 16786, 41965

Step-4: Factors of 83936

List of positive integer factors of 83936 that divides 83930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83930 and 83936. The biggest common factor number is the GCF number.
So the greatest common factor 83930 and 83936 is 2.

Also check out the Least Common Multiple of 83930 and 83936