Greatest Common Factor of 4921 and 4925

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 4921, 4925 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4921 and 4925 is 1.

GCF(4921,4925) = 1

GCF of 4921 and 4925

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

GCF of:
and

Greatest Common Factor of 4921 and 4925

GCF of 4921 and 4925 is 1

Prime Factorization of 4921


7 4921
19 703
37 37
1

Prime factors of 4921 are 7,19,37. Prime factorization of 4921 in exponential form is:

4921 = 71×191×371

Prime Factorization of 4925


5 4925
5 985
197 197
1

Prime factors of 4925 are 5,197. Prime factorization of 4925 in exponential form is:

4925 = 52×1971

∴ So by taking common prime factors GCF of 4921 and 4925 is 1

Greatest Common Factor of 4921 and 4925 by matching factors method

Factors of 4921

List of positive integer factors of 4921 that divides 4921 without a remainder.

1,7,19,37,133,259,703,4921

Factors of 4925

List of positive integer factors of 4925 that divides 4925 without a remainder.

1,5,25,197,985,4925

Greatest Common Factor

We found the factors and prime factorization of 4921 and 4925. The biggest common factor number is the GCF number.
So the greatest common factor 4921 and 4925 is 1.

Also check out the Least Common Multiple of 4921 and 4925

Properties of GCF 4921 and 4925

(i) The GCF of 4921 and 4925 is associative

GCF of 4921 and 4925 = GCF of 4925 and 4921

Related Greatest Common Factor of 4921

Related Greatest Common Factor of 4925

Frequently Asked Questions on GCF of 4921 and 4925

1. What is the GCF of 4921 and 4925?

Answer: GCF of 4921 and 4925 is 1.

2. What are the Factors of 4921?

Answer: Factors of 4921 are 1, 7, 19, 37, 133, 259, 703, 4921. There are 8 integers that are factors of 4921. The greatest factor of 4921 is 4921.

3. What are the Factors of 4925?

Answer: Factors of 4925 are 1, 5, 25, 197, 985, 4925. There are 6 integers that are factors of 4925. The greatest factor of 4925 is 4925.

4. How to Find the GCF of 4921 and 4925?

Answer:

Greatest Common Factor of 4921 and 4925 = 1

Step 1: Find the prime factorization of 4921

4921 = 7 x 19 x 37

Step 2: Find the prime factorization of 4925

4925 = 5 x 5 x 197

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 4921 and 4925 is 1