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 8152, 8157 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8152 and 8157 is 1.
GCF(8152,8157) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8152
2 | 8152 |
2 | 4076 |
2 | 2038 |
1019 | 1019 |
1 |
Prime factors of 8152 are 2,1019. Prime factorization of 8152 in exponential form is:
8152 = 23×10191
Prime Factorization of 8157
3 | 8157 |
2719 | 2719 |
1 |
Prime factors of 8157 are 3,2719. Prime factorization of 8157 in exponential form is:
8157 = 31×27191
∴ So by taking common prime factors GCF of 8152 and 8157 is 1
Factors of 8152
List of positive integer factors of 8152 that divides 8152 without a remainder.
1,2,4,8,1019,2038,4076,8152
Factors of 8157
List of positive integer factors of 8157 that divides 8157 without a remainder.
1,3,2719,8157
Greatest Common Factor
We found the factors and prime factorization of 8152 and 8157. The biggest common factor number is the GCF number.
So the greatest common factor 8152 and 8157 is 1.
Also check out the Least Common Multiple of 8152 and 8157
(i) The GCF of 8152 and 8157 is associative
GCF of 8152 and 8157 = GCF of 8157 and 8152
1. What is the GCF of 8152 and 8157?
Answer: GCF of 8152 and 8157 is 1.
2. What are the Factors of 8152?
Answer: Factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152. There are 8 integers that are factors of 8152. The greatest factor of 8152 is 8152.
3. What are the Factors of 8157?
Answer: Factors of 8157 are 1, 3, 2719, 8157. There are 4 integers that are factors of 8157. The greatest factor of 8157 is 8157.
4. How to Find the GCF of 8152 and 8157?
Answer:
Greatest Common Factor of 8152 and 8157 = 1
Step 1: Find the prime factorization of 8152
8152 = 2 x 2 x 2 x 1019
Step 2: Find the prime factorization of 8157
8157 = 3 x 2719
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 8152 and 8157 is 1