Greatest Common Factor of 6254 and 6262

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 6254, 6262 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6254 and 6262 is 2.

GCF(6254,6262) = 2

GCF of 6254 and 6262

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

GCF of:
and

Greatest Common Factor of 6254 and 6262

GCF of 6254 and 6262 is 2

Prime Factorization of 6254


2 6254
53 3127
59 59
1

Prime factors of 6254 are 2,53,59. Prime factorization of 6254 in exponential form is:

6254 = 21×531×591

Prime Factorization of 6262


2 6262
31 3131
101 101
1

Prime factors of 6262 are 2,31,101. Prime factorization of 6262 in exponential form is:

6262 = 21×311×1011

∴ So by taking common prime factors GCF of 6254 and 6262 is 2

Greatest Common Factor of 6254 and 6262 by matching factors method

Factors of 6254

List of positive integer factors of 6254 that divides 6254 without a remainder.

1,2,53,59,106,118,3127,6254

Factors of 6262

List of positive integer factors of 6262 that divides 6262 without a remainder.

1,2,31,62,101,202,3131,6262

Greatest Common Factor

We found the factors and prime factorization of 6254 and 6262. The biggest common factor number is the GCF number.
So the greatest common factor 6254 and 6262 is 2.

Also check out the Least Common Multiple of 6254 and 6262

Properties of GCF 6254 and 6262

(i) The GCF of 6254 and 6262 is associative

GCF of 6254 and 6262 = GCF of 6262 and 6254

Related Greatest Common Factor of 6254

Related Greatest Common Factor of 6262

Frequently Asked Questions on GCF of 6254 and 6262

1. What is the GCF of 6254 and 6262?

Answer: GCF of 6254 and 6262 is 2.

2. What are the Factors of 6254?

Answer: Factors of 6254 are 1, 2, 53, 59, 106, 118, 3127, 6254. There are 8 integers that are factors of 6254. The greatest factor of 6254 is 6254.

3. What are the Factors of 6262?

Answer: Factors of 6262 are 1, 2, 31, 62, 101, 202, 3131, 6262. There are 8 integers that are factors of 6262. The greatest factor of 6262 is 6262.

4. How to Find the GCF of 6254 and 6262?

Answer:

Greatest Common Factor of 6254 and 6262 = 2

Step 1: Find the prime factorization of 6254

6254 = 2 x 53 x 59

Step 2: Find the prime factorization of 6262

6262 = 2 x 31 x 101

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

GCF = 2

Step 4: Therefore, the greatest common factor of 6254 and 6262 is 2