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 1220, 1225 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1220 and 1225 is 5.
GCF(1220,1225) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1220
2 | 1220 |
2 | 610 |
5 | 305 |
61 | 61 |
1 |
Prime factors of 1220 are 2,5,61. Prime factorization of 1220 in exponential form is:
1220 = 22×51×611
Prime Factorization of 1225
5 | 1225 |
5 | 245 |
7 | 49 |
7 | 7 |
1 |
Prime factors of 1225 are 5,7. Prime factorization of 1225 in exponential form is:
1225 = 52×72
∴ So by taking common prime factors GCF of 1220 and 1225 is 5
Factors of 1220
List of positive integer factors of 1220 that divides 1220 without a remainder.
1,2,4,5,10,20,61,122,244,305,610,1220
Factors of 1225
List of positive integer factors of 1225 that divides 1225 without a remainder.
1,5,7,25,35,49,175,245,1225
Greatest Common Factor
We found the factors and prime factorization of 1220 and 1225. The biggest common factor number is the GCF number.
So the greatest common factor 1220 and 1225 is 5.
Also check out the Least Common Multiple of 1220 and 1225
(i) The GCF of 1220 and 1225 is associative
GCF of 1220 and 1225 = GCF of 1225 and 1220
1. What is the GCF of 1220 and 1225?
Answer: GCF of 1220 and 1225 is 5.
2. What are the Factors of 1220?
Answer: Factors of 1220 are 1, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220. There are 12 integers that are factors of 1220. The greatest factor of 1220 is 1220.
3. What are the Factors of 1225?
Answer: Factors of 1225 are 1, 5, 7, 25, 35, 49, 175, 245, 1225. There are 9 integers that are factors of 1225. The greatest factor of 1225 is 1225.
4. How to Find the GCF of 1220 and 1225?
Answer:
Greatest Common Factor of 1220 and 1225 = 5
Step 1: Find the prime factorization of 1220
1220 = 2 x 2 x 5 x 61
Step 2: Find the prime factorization of 1225
1225 = 5 x 5 x 7 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 1220 and 1225 is 5