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 5416, 5420 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 5416 and 5420 is 4.
GCF(5416,5420) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 5416
2 | 5416 |
2 | 2708 |
2 | 1354 |
677 | 677 |
1 |
Prime factors of 5416 are 2,677. Prime factorization of 5416 in exponential form is:
5416 = 23×6771
Prime Factorization of 5420
2 | 5420 |
2 | 2710 |
5 | 1355 |
271 | 271 |
1 |
Prime factors of 5420 are 2,5,271. Prime factorization of 5420 in exponential form is:
5420 = 22×51×2711
∴ So by taking common prime factors GCF of 5416 and 5420 is 4
Factors of 5416
List of positive integer factors of 5416 that divides 5416 without a remainder.
1,2,4,8,677,1354,2708,5416
Factors of 5420
List of positive integer factors of 5420 that divides 5420 without a remainder.
1,2,4,5,10,20,271,542,1084,1355,2710,5420
Greatest Common Factor
We found the factors and prime factorization of 5416 and 5420. The biggest common factor number is the GCF number.
So the greatest common factor 5416 and 5420 is 4.
Also check out the Least Common Multiple of 5416 and 5420
(i) The GCF of 5416 and 5420 is associative
GCF of 5416 and 5420 = GCF of 5420 and 5416
1. What is the GCF of 5416 and 5420?
Answer: GCF of 5416 and 5420 is 4.
2. What are the Factors of 5416?
Answer: Factors of 5416 are 1, 2, 4, 8, 677, 1354, 2708, 5416. There are 8 integers that are factors of 5416. The greatest factor of 5416 is 5416.
3. What are the Factors of 5420?
Answer: Factors of 5420 are 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420. There are 12 integers that are factors of 5420. The greatest factor of 5420 is 5420.
4. How to Find the GCF of 5416 and 5420?
Answer:
Greatest Common Factor of 5416 and 5420 = 4
Step 1: Find the prime factorization of 5416
5416 = 2 x 2 x 2 x 677
Step 2: Find the prime factorization of 5420
5420 = 2 x 2 x 5 x 271
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 5416 and 5420 is 4