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 20464, 20470 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 20464 and 20470 is 2.
GCF(20464,20470) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 20464
2 | 20464 |
2 | 10232 |
2 | 5116 |
2 | 2558 |
1279 | 1279 |
1 |
Prime factors of 20464 are 2,1279. Prime factorization of 20464 in exponential form is:
20464 = 24×12791
Prime Factorization of 20470
2 | 20470 |
5 | 10235 |
23 | 2047 |
89 | 89 |
1 |
Prime factors of 20470 are 2,5,23,89. Prime factorization of 20470 in exponential form is:
20470 = 21×51×231×891
∴ So by taking common prime factors GCF of 20464 and 20470 is 2
Factors of 20464
List of positive integer factors of 20464 that divides 20464 without a remainder.
1,2,4,8,16,1279,2558,5116,10232,20464
Factors of 20470
List of positive integer factors of 20470 that divides 20470 without a remainder.
1,2,5,10,23,46,89,115,178,230,445,890,2047,4094,10235,20470
Greatest Common Factor
We found the factors and prime factorization of 20464 and 20470. The biggest common factor number is the GCF number.
So the greatest common factor 20464 and 20470 is 2.
Also check out the Least Common Multiple of 20464 and 20470
(i) The GCF of 20464 and 20470 is associative
GCF of 20464 and 20470 = GCF of 20470 and 20464
1. What is the GCF of 20464 and 20470?
Answer: GCF of 20464 and 20470 is 2.
2. What are the Factors of 20464?
Answer: Factors of 20464 are 1, 2, 4, 8, 16, 1279, 2558, 5116, 10232, 20464. There are 10 integers that are factors of 20464. The greatest factor of 20464 is 20464.
3. What are the Factors of 20470?
Answer: Factors of 20470 are 1, 2, 5, 10, 23, 46, 89, 115, 178, 230, 445, 890, 2047, 4094, 10235, 20470. There are 16 integers that are factors of 20470. The greatest factor of 20470 is 20470.
4. How to Find the GCF of 20464 and 20470?
Answer:
Greatest Common Factor of 20464 and 20470 = 2
Step 1: Find the prime factorization of 20464
20464 = 2 x 2 x 2 x 2 x 1279
Step 2: Find the prime factorization of 20470
20470 = 2 x 5 x 23 x 89
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 20464 and 20470 is 2