Greatest Common Factor of 4949 and 4957

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 4949, 4957 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4949 and 4957 is 1.

GCF(4949,4957) = 1

GCF of 4949 and 4957

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

GCF of:
and

Greatest Common Factor of 4949 and 4957

GCF of 4949 and 4957 is 1

Prime Factorization of 4949


7 4949
7 707
101 101
1

Prime factors of 4949 are 7,101. Prime factorization of 4949 in exponential form is:

4949 = 72×1011

Prime Factorization of 4957


4957 4957
1

Prime factors of 4957 are 4957. Prime factorization of 4957 in exponential form is:

4957 = 49571

∴ So by taking common prime factors GCF of 4949 and 4957 is 1

Greatest Common Factor of 4949 and 4957 by matching factors method

Factors of 4949

List of positive integer factors of 4949 that divides 4949 without a remainder.

1,7,49,101,707,4949

Factors of 4957

List of positive integer factors of 4957 that divides 4957 without a remainder.

1,4957

Greatest Common Factor

We found the factors and prime factorization of 4949 and 4957. The biggest common factor number is the GCF number.
So the greatest common factor 4949 and 4957 is 1.

Also check out the Least Common Multiple of 4949 and 4957

Properties of GCF 4949 and 4957

(i) The GCF of 4949 and 4957 is associative

GCF of 4949 and 4957 = GCF of 4957 and 4949

Related Greatest Common Factor of 4949

Related Greatest Common Factor of 4957

Frequently Asked Questions on GCF of 4949 and 4957

1. What is the GCF of 4949 and 4957?

Answer: GCF of 4949 and 4957 is 1.

2. What are the Factors of 4949?

Answer: Factors of 4949 are 1, 7, 49, 101, 707, 4949. There are 6 integers that are factors of 4949. The greatest factor of 4949 is 4949.

3. What are the Factors of 4957?

Answer: Factors of 4957 are 1, 4957. There are 2 integers that are factors of 4957. The greatest factor of 4957 is 4957.

4. How to Find the GCF of 4949 and 4957?

Answer:

Greatest Common Factor of 4949 and 4957 = 1

Step 1: Find the prime factorization of 4949

4949 = 7 x 7 x 101

Step 2: Find the prime factorization of 4957

4957 = 4957

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 4949 and 4957 is 1