What is the Greatest Common Factor of 90954 and 90968?

Greatest common factor (GCF) of 90954 and 90968 is 2.

GCF(90954,90968) = 2

We will now calculate the prime factors of 90954 and 90968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90954 and 90968.

How to find the GCF of 90954 and 90968?

We will first find the prime factorization of 90954 and 90968. After we will calculate the factors of 90954 and 90968 and find the biggest common factor number .

Step-1: Prime Factorization of 90954

Prime factors of 90954 are 2, 3, 31, 163. Prime factorization of 90954 in exponential form is:

90954 = 2¹ × 3² × 31¹ × 163¹

Step-2: Prime Factorization of 90968

Prime factors of 90968 are 2, 83, 137. Prime factorization of 90968 in exponential form is:

90968 = 2³ × 83¹ × 137¹

Step-3: Factors of 90954

List of positive integer factors of 90954 that divides 90954 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 163, 186, 279, 326, 489, 558, 978, 1467, 2934, 5053, 10106, 15159, 30318, 45477

Step-4: Factors of 90968

List of positive integer factors of 90968 that divides 90954 without a remainder.

1, 2, 4, 8, 83, 137, 166, 274, 332, 548, 664, 1096, 11371, 22742, 45484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90954 and 90968. The biggest common factor number is the GCF number.
So the greatest common factor 90954 and 90968 is 2.

Also check out the Least Common Multiple of 90954 and 90968