What is the Greatest Common Factor of 90933 and 90951?

Greatest common factor (GCF) of 90933 and 90951 is 3.

GCF(90933,90951) = 3

We will now calculate the prime factors of 90933 and 90951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90933 and 90951.

How to find the GCF of 90933 and 90951?

We will first find the prime factorization of 90933 and 90951. After we will calculate the factors of 90933 and 90951 and find the biggest common factor number .

Step-1: Prime Factorization of 90933

Prime factors of 90933 are 3, 17, 1783. Prime factorization of 90933 in exponential form is:

90933 = 3¹ × 17¹ × 1783¹

Step-2: Prime Factorization of 90951

Prime factors of 90951 are 3, 7, 61, 71. Prime factorization of 90951 in exponential form is:

90951 = 3¹ × 7¹ × 61¹ × 71¹

Step-3: Factors of 90933

List of positive integer factors of 90933 that divides 90933 without a remainder.

1, 3, 17, 51, 1783, 5349, 30311

Step-4: Factors of 90951

List of positive integer factors of 90951 that divides 90933 without a remainder.

1, 3, 7, 21, 61, 71, 183, 213, 427, 497, 1281, 1491, 4331, 12993, 30317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90933 and 90951. The biggest common factor number is the GCF number.
So the greatest common factor 90933 and 90951 is 3.

Also check out the Least Common Multiple of 90933 and 90951