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Greatest Common Factor of 84 and 92

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 84, 92 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 84 and 92 is 4.

GCF(84,92) = 4

GCF of 84 and 92

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

GCF of:
and

Greatest Common Factor of 84 and 92 by Prime factorization method

Prime Factorization of 84


2 84
2 42
3 21
7 7
1

Prime factors of 84 are 2,3,7. Prime factorization of 84 in exponential form is:

84 = 22×31×71

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 84 and 92 is 4

Greatest Common Factor of 84 and 92 by matching factors method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 84 and 92. The biggest common factor number is the GCF number.
So the greatest common factor 84 and 92 is 4.

Also check out the Least Common Multiple of 84 and 92

Properties of GCF 84 and 92

(i) The GCF of 84 and 92 is associative

GCF of 84 and 92 = GCF of 92 and 84

Frequently Asked Questions on GCF of 84 and 92

1. What is the GCF of 84 and 92?

Answer: GCF of 84 and 92 is 4.

2. What are the Factors of 84?

Answer: Factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. There are 12 integers that are factors of 84. The greatest factor of 84 is 84.

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 84 and 92?

Answer:

Greatest Common Factor of 84 and 92 = 4

Step 1: Find the prime factorization of 84

84 = 2 x 2 x 3 x 7

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 84 and 92 is 4