What is the Greatest Common Factor of 83968 and 83976?

Greatest common factor (GCF) of 83968 and 83976 is 8.

GCF(83968,83976) = 8

We will now calculate the prime factors of 83968 and 83976, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83968 and 83976.

How to find the GCF of 83968 and 83976?

We will first find the prime factorization of 83968 and 83976. After we will calculate the factors of 83968 and 83976 and find the biggest common factor number .

Step-1: Prime Factorization of 83968

Prime factors of 83968 are 2, 41. Prime factorization of 83968 in exponential form is:

83968 = 2¹¹ × 41¹

Step-2: Prime Factorization of 83976

Prime factors of 83976 are 2, 3, 3499. Prime factorization of 83976 in exponential form is:

83976 = 2³ × 3¹ × 3499¹

Step-3: Factors of 83968

List of positive integer factors of 83968 that divides 83968 without a remainder.

1, 2, 4, 8, 16, 32, 41, 64, 82, 128, 164, 256, 328, 512, 656, 1024, 1312, 2048, 2624, 5248, 10496, 20992, 41984

Step-4: Factors of 83976

List of positive integer factors of 83976 that divides 83968 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3499, 6998, 10497, 13996, 20994, 27992, 41988

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83968 and 83976. The biggest common factor number is the GCF number.
So the greatest common factor 83968 and 83976 is 8.

Also check out the Least Common Multiple of 83968 and 83976