Greatest Common Factor of 90 and 92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 90, 92 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 90 and 92 is 2.

GCF(90,92) = 2

GCF of 90 and 92

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 90 and 92

GCF of 90 and 92 is 2

Prime Factorization of 90


2 90
3 45
3 15
5 5
1

Prime factors of 90 are 2,3,5. Prime factorization of 90 in exponential form is:

90 = 21×32×51

Prime Factorization of 92


2 92
2 46
23 23
1

Prime factors of 92 are 2,23. Prime factorization of 92 in exponential form is:

92 = 22×231

∴ So by taking common prime factors GCF of 90 and 92 is 2

Greatest Common Factor of 90 and 92 by matching factors method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors and prime factorization of 90 and 92. The biggest common factor number is the GCF number.
So the greatest common factor 90 and 92 is 2.

Also check out the Least Common Multiple of 90 and 92

Properties of GCF 90 and 92

(i) The GCF of 90 and 92 is associative

GCF of 90 and 92 = GCF of 92 and 90

Related Greatest Common Factor of 90

Related Greatest Common Factor of 92

Frequently Asked Questions on GCF of 90 and 92

1. What is the GCF of 90 and 92?

Answer: GCF of 90 and 92 is 2.

2. What are the Factors of 90?

Answer: Factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. There are 12 integers that are factors of 90. The greatest factor of 90 is 90.

3. What are the Factors of 92?

Answer: Factors of 92 are 1, 2, 4, 23, 46, 92. There are 6 integers that are factors of 92. The greatest factor of 92 is 92.

4. How to Find the GCF of 90 and 92?

Answer:

Greatest Common Factor of 90 and 92 = 2

Step 1: Find the prime factorization of 90

90 = 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 92

92 = 2 x 2 x 23

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 90 and 92 is 2