What is the Greatest Common Factor of 90992 and 91002?

Greatest common factor (GCF) of 90992 and 91002 is 2.

GCF(90992,91002) = 2

We will now calculate the prime factors of 90992 and 91002, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90992 and 91002.

How to find the GCF of 90992 and 91002?

We will first find the prime factorization of 90992 and 91002. After we will calculate the factors of 90992 and 91002 and find the biggest common factor number .

Step-1: Prime Factorization of 90992

Prime factors of 90992 are 2, 11, 47. Prime factorization of 90992 in exponential form is:

90992 = 2⁴ × 11² × 47¹

Step-2: Prime Factorization of 91002

Prime factors of 91002 are 2, 3, 29, 523. Prime factorization of 91002 in exponential form is:

91002 = 2¹ × 3¹ × 29¹ × 523¹

Step-3: Factors of 90992

List of positive integer factors of 90992 that divides 90992 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 47, 88, 94, 121, 176, 188, 242, 376, 484, 517, 752, 968, 1034, 1936, 2068, 4136, 5687, 8272, 11374, 22748, 45496

Step-4: Factors of 91002

List of positive integer factors of 91002 that divides 90992 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 523, 1046, 1569, 3138, 15167, 30334, 45501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90992 and 91002. The biggest common factor number is the GCF number.
So the greatest common factor 90992 and 91002 is 2.

Also check out the Least Common Multiple of 90992 and 91002