Greatest Common Factor of 4967 and 4968

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 4967, 4968 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4967 and 4968 is 1.

GCF(4967,4968) = 1

GCF of 4967 and 4968

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

GCF of:
and

Greatest Common Factor of 4967 and 4968

GCF of 4967 and 4968 is 1

Prime Factorization of 4967


4967 4967
1

Prime factors of 4967 are 4967. Prime factorization of 4967 in exponential form is:

4967 = 49671

Prime Factorization of 4968


2 4968
2 2484
2 1242
3 621
3 207
3 69
23 23
1

Prime factors of 4968 are 2.Prime factorization of 4968 in exponential form is:

4968 = 23×33×231

∴ So by taking common prime factors GCF of 4967 and 4968 is 1

Greatest Common Factor of 4967 and 4968 by matching factors method

Factors of 4967

List of positive integer factors of 4967 that divides 4967 without a remainder.

1,4967

Factors of 4968

List of positive integer factors of 4968 that divides 4968 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968

Greatest Common Factor

We found the factors and prime factorization of 4967 and 4968. The biggest common factor number is the GCF number.
So the greatest common factor 4967 and 4968 is 1.

Also check out the Least Common Multiple of 4967 and 4968

Properties of GCF 4967 and 4968

(i) The GCF of 4967 and 4968 is associative

GCF of 4967 and 4968 = GCF of 4968 and 4967

Related Greatest Common Factor of 4967

Related Greatest Common Factor of 4968

Frequently Asked Questions on GCF of 4967 and 4968

1. What is the GCF of 4967 and 4968?

Answer: GCF of 4967 and 4968 is 1.

2. What are the Factors of 4967?

Answer: Factors of 4967 are 1, 4967. There are 2 integers that are factors of 4967. The greatest factor of 4967 is 4967.

3. What are the Factors of 4968?

Answer: Factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968. There are 32 integers that are factors of 4968. The greatest factor of 4968 is 4968.

4. How to Find the GCF of 4967 and 4968?

Answer:

Greatest Common Factor of 4967 and 4968 = 1

Step 1: Find the prime factorization of 4967

4967 = 4967

Step 2: Find the prime factorization of 4968

4968 = 2 x 2 x 2 x 3 x 3 x 3 x 23

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4967 and 4968 is 1