What is the Greatest Common Factor of 81964 and 81968?

Greatest common factor (GCF) of 81964 and 81968 is 4.

GCF(81964,81968) = 4

We will now calculate the prime factors of 81964 and 81968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81964 and 81968.

How to find the GCF of 81964 and 81968?

We will first find the prime factorization of 81964 and 81968. After we will calculate the factors of 81964 and 81968 and find the biggest common factor number .

Step-1: Prime Factorization of 81964

Prime factors of 81964 are 2, 31, 661. Prime factorization of 81964 in exponential form is:

81964 = 2² × 31¹ × 661¹

Step-2: Prime Factorization of 81968

Prime factors of 81968 are 2, 47, 109. Prime factorization of 81968 in exponential form is:

81968 = 2⁴ × 47¹ × 109¹

Step-3: Factors of 81964

List of positive integer factors of 81964 that divides 81964 without a remainder.

1, 2, 4, 31, 62, 124, 661, 1322, 2644, 20491, 40982

Step-4: Factors of 81968

List of positive integer factors of 81968 that divides 81964 without a remainder.

1, 2, 4, 8, 16, 47, 94, 109, 188, 218, 376, 436, 752, 872, 1744, 5123, 10246, 20492, 40984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81964 and 81968. The biggest common factor number is the GCF number.
So the greatest common factor 81964 and 81968 is 4.

Also check out the Least Common Multiple of 81964 and 81968