Greatest Common Factor of 4961 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 4961, 4968 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4961 and 4968 is 1.

GCF(4961,4968) = 1

GCF of 4961 and 4968

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

GCF of:
and

Greatest Common Factor of 4961 and 4968

GCF of 4961 and 4968 is 1

Prime Factorization of 4961


11 4961
11 451
41 41
1

Prime factors of 4961 are 11,41. Prime factorization of 4961 in exponential form is:

4961 = 112×411

Prime Factorization of 4968


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

Prime factors of 4968 are 2,3,23. Prime factorization of 4968 in exponential form is:

4968 = 23×33×231

∴ So by taking common prime factors GCF of 4961 and 4968 is 1

Greatest Common Factor of 4961 and 4968 by matching factors method

Factors of 4961

List of positive integer factors of 4961 that divides 4961 without a remainder.

1,11,41,121,451,4961

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 4961 and 4968. The biggest common factor number is the GCF number.
So the greatest common factor 4961 and 4968 is 1.

Also check out the Least Common Multiple of 4961 and 4968

Properties of GCF 4961 and 4968

(i) The GCF of 4961 and 4968 is associative

GCF of 4961 and 4968 = GCF of 4968 and 4961

Related Greatest Common Factor of 4961

Related Greatest Common Factor of 4968

Frequently Asked Questions on GCF of 4961 and 4968

1. What is the GCF of 4961 and 4968?

Answer: GCF of 4961 and 4968 is 1.

2. What are the Factors of 4961?

Answer: Factors of 4961 are 1, 11, 41, 121, 451, 4961. There are 6 integers that are factors of 4961. The greatest factor of 4961 is 4961.

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 4961 and 4968?

Answer:

Greatest Common Factor of 4961 and 4968 = 1

Step 1: Find the prime factorization of 4961

4961 = 11 x 11 x 41

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 4961 and 4968 is 1