Greatest Common Factor of 622 and 624

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 622, 624 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 622 and 624 is 2.

GCF(622,624) = 2

GCF of 622 and 624

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

GCF of:
and

Greatest Common Factor of 622 and 624

GCF of 622 and 624 is 2

Prime Factorization of 622


2 622
311 311
1

Prime factors of 622 are 2,311. Prime factorization of 622 in exponential form is:

622 = 21×3111

Prime Factorization of 624


2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 624 are 2,3,13. Prime factorization of 624 in exponential form is:

624 = 24×31×131

∴ So by taking common prime factors GCF of 622 and 624 is 2

Greatest Common Factor of 622 and 624 by matching factors method

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors and prime factorization of 622 and 624. The biggest common factor number is the GCF number.
So the greatest common factor 622 and 624 is 2.

Also check out the Least Common Multiple of 622 and 624

Properties of GCF 622 and 624

(i) The GCF of 622 and 624 is associative

GCF of 622 and 624 = GCF of 624 and 622

Related Greatest Common Factor of 622

Related Greatest Common Factor of 624

Frequently Asked Questions on GCF of 622 and 624

1. What is the GCF of 622 and 624?

Answer: GCF of 622 and 624 is 2.

2. What are the Factors of 622?

Answer: Factors of 622 are 1, 2, 311, 622. There are 4 integers that are factors of 622. The greatest factor of 622 is 622.

3. What are the Factors of 624?

Answer: Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. There are 20 integers that are factors of 624. The greatest factor of 624 is 624.

4. How to Find the GCF of 622 and 624?

Answer:

Greatest Common Factor of 622 and 624 = 2

Step 1: Find the prime factorization of 622

622 = 2 x 311

Step 2: Find the prime factorization of 624

624 = 2 x 2 x 2 x 2 x 3 x 13

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 622 and 624 is 2