What is the Greatest Common Factor of 90068 and 90074?

Greatest common factor (GCF) of 90068 and 90074 is 2.

GCF(90068,90074) = 2

We will now calculate the prime factors of 90068 and 90074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90068 and 90074.

How to find the GCF of 90068 and 90074?

We will first find the prime factorization of 90068 and 90074. After we will calculate the factors of 90068 and 90074 and find the biggest common factor number .

Step-1: Prime Factorization of 90068

Prime factors of 90068 are 2, 11, 23, 89. Prime factorization of 90068 in exponential form is:

90068 = 2² × 11¹ × 23¹ × 89¹

Step-2: Prime Factorization of 90074

Prime factors of 90074 are 2, 29, 1553. Prime factorization of 90074 in exponential form is:

90074 = 2¹ × 29¹ × 1553¹

Step-3: Factors of 90068

List of positive integer factors of 90068 that divides 90068 without a remainder.

1, 2, 4, 11, 22, 23, 44, 46, 89, 92, 178, 253, 356, 506, 979, 1012, 1958, 2047, 3916, 4094, 8188, 22517, 45034

Step-4: Factors of 90074

List of positive integer factors of 90074 that divides 90068 without a remainder.

1, 2, 29, 58, 1553, 3106, 45037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90068 and 90074. The biggest common factor number is the GCF number.
So the greatest common factor 90068 and 90074 is 2.

Also check out the Least Common Multiple of 90068 and 90074