What is the Greatest Common Factor of 83930 and 83948?

Greatest common factor (GCF) of 83930 and 83948 is 2.

GCF(83930,83948) = 2

We will now calculate the prime factors of 83930 and 83948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83930 and 83948.

How to find the GCF of 83930 and 83948?

We will first find the prime factorization of 83930 and 83948. After we will calculate the factors of 83930 and 83948 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 83948

Prime factors of 83948 are 2, 31, 677. Prime factorization of 83948 in exponential form is:

83948 = 2² × 31¹ × 677¹

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 83948

List of positive integer factors of 83948 that divides 83930 without a remainder.

1, 2, 4, 31, 62, 124, 677, 1354, 2708, 20987, 41974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83930 and 83948. The biggest common factor number is the GCF number.
So the greatest common factor 83930 and 83948 is 2.

Also check out the Least Common Multiple of 83930 and 83948