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 15202, 15208 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15202 and 15208 is 2.
GCF(15202,15208) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15202
2 | 15202 |
11 | 7601 |
691 | 691 |
1 |
Prime factors of 15202 are 2,11,691. Prime factorization of 15202 in exponential form is:
15202 = 21×111×6911
Prime Factorization of 15208
2 | 15208 |
2 | 7604 |
2 | 3802 |
1901 | 1901 |
1 |
Prime factors of 15208 are 2,1901. Prime factorization of 15208 in exponential form is:
15208 = 23×19011
∴ So by taking common prime factors GCF of 15202 and 15208 is 2
Factors of 15202
List of positive integer factors of 15202 that divides 15202 without a remainder.
1,2,11,22,691,1382,7601,15202
Factors of 15208
List of positive integer factors of 15208 that divides 15208 without a remainder.
1,2,4,8,1901,3802,7604,15208
Greatest Common Factor
We found the factors and prime factorization of 15202 and 15208. The biggest common factor number is the GCF number.
So the greatest common factor 15202 and 15208 is 2.
Also check out the Least Common Multiple of 15202 and 15208
(i) The GCF of 15202 and 15208 is associative
GCF of 15202 and 15208 = GCF of 15208 and 15202
1. What is the GCF of 15202 and 15208?
Answer: GCF of 15202 and 15208 is 2.
2. What are the Factors of 15202?
Answer: Factors of 15202 are 1, 2, 11, 22, 691, 1382, 7601, 15202. There are 8 integers that are factors of 15202. The greatest factor of 15202 is 15202.
3. What are the Factors of 15208?
Answer: Factors of 15208 are 1, 2, 4, 8, 1901, 3802, 7604, 15208. There are 8 integers that are factors of 15208. The greatest factor of 15208 is 15208.
4. How to Find the GCF of 15202 and 15208?
Answer:
Greatest Common Factor of 15202 and 15208 = 2
Step 1: Find the prime factorization of 15202
15202 = 2 x 11 x 691
Step 2: Find the prime factorization of 15208
15208 = 2 x 2 x 2 x 1901
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 15202 and 15208 is 2