What is the Greatest Common Factor of 90779 and 90792?

Greatest common factor (GCF) of 90779 and 90792 is 13.

GCF(90779,90792) = 13

We will now calculate the prime factors of 90779 and 90792, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90779 and 90792.

How to find the GCF of 90779 and 90792?

We will first find the prime factorization of 90779 and 90792. After we will calculate the factors of 90779 and 90792 and find the biggest common factor number .

Step-1: Prime Factorization of 90779

Prime factors of 90779 are 13, 6983. Prime factorization of 90779 in exponential form is:

90779 = 13¹ × 6983¹

Step-2: Prime Factorization of 90792

Prime factors of 90792 are 2, 3, 13, 97. Prime factorization of 90792 in exponential form is:

90792 = 2³ × 3² × 13¹ × 97¹

Step-3: Factors of 90779

List of positive integer factors of 90779 that divides 90779 without a remainder.

1, 13, 6983

Step-4: Factors of 90792

List of positive integer factors of 90792 that divides 90779 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 97, 104, 117, 156, 194, 234, 291, 312, 388, 468, 582, 776, 873, 936, 1164, 1261, 1746, 2328, 2522, 3492, 3783, 5044, 6984, 7566, 10088, 11349, 15132, 22698, 30264, 45396

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90779 and 90792. The biggest common factor number is the GCF number.
So the greatest common factor 90779 and 90792 is 13.

Also check out the Least Common Multiple of 90779 and 90792