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 1248, 1252 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1248 and 1252 is 4.
GCF(1248,1252) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1248
2 | 1248 |
2 | 624 |
2 | 312 |
2 | 156 |
2 | 78 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 1248 are 2,3,13. Prime factorization of 1248 in exponential form is:
1248 = 25×31×131
Prime Factorization of 1252
2 | 1252 |
2 | 626 |
313 | 313 |
1 |
Prime factors of 1252 are 2,313. Prime factorization of 1252 in exponential form is:
1252 = 22×3131
∴ So by taking common prime factors GCF of 1248 and 1252 is 4
Factors of 1248
List of positive integer factors of 1248 that divides 1248 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,78,96,104,156,208,312,416,624,1248
Factors of 1252
List of positive integer factors of 1252 that divides 1252 without a remainder.
1,2,4,313,626,1252
Greatest Common Factor
We found the factors and prime factorization of 1248 and 1252. The biggest common factor number is the GCF number.
So the greatest common factor 1248 and 1252 is 4.
Also check out the Least Common Multiple of 1248 and 1252
(i) The GCF of 1248 and 1252 is associative
GCF of 1248 and 1252 = GCF of 1252 and 1248
1. What is the GCF of 1248 and 1252?
Answer: GCF of 1248 and 1252 is 4.
2. What are the Factors of 1248?
Answer: Factors of 1248 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 78, 96, 104, 156, 208, 312, 416, 624, 1248. There are 24 integers that are factors of 1248. The greatest factor of 1248 is 1248.
3. What are the Factors of 1252?
Answer: Factors of 1252 are 1, 2, 4, 313, 626, 1252. There are 6 integers that are factors of 1252. The greatest factor of 1252 is 1252.
4. How to Find the GCF of 1248 and 1252?
Answer:
Greatest Common Factor of 1248 and 1252 = 4
Step 1: Find the prime factorization of 1248
1248 = 2 x 2 x 2 x 2 x 2 x 3 x 13
Step 2: Find the prime factorization of 1252
1252 = 2 x 2 x 313
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 1248 and 1252 is 4