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 10147, 10152 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 10147 and 10152 is 1.
GCF(10147,10152) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 10147
73 | 10147 |
139 | 139 |
1 |
Prime factors of 10147 are 73,139. Prime factorization of 10147 in exponential form is:
10147 = 731×1391
Prime Factorization of 10152
2 | 10152 |
2 | 5076 |
2 | 2538 |
3 | 1269 |
3 | 423 |
3 | 141 |
47 | 47 |
1 |
Prime factors of 10152 are 2,3,47. Prime factorization of 10152 in exponential form is:
10152 = 23×33×471
∴ So by taking common prime factors GCF of 10147 and 10152 is 1
Factors of 10147
List of positive integer factors of 10147 that divides 10147 without a remainder.
1,73,139,10147
Factors of 10152
List of positive integer factors of 10152 that divides 10152 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,47,54,72,94,108,141,188,216,282,376,423,564,846,1128,1269,1692,2538,3384,5076,10152
Greatest Common Factor
We found the factors and prime factorization of 10147 and 10152. The biggest common factor number is the GCF number.
So the greatest common factor 10147 and 10152 is 1.
Also check out the Least Common Multiple of 10147 and 10152
(i) The GCF of 10147 and 10152 is associative
GCF of 10147 and 10152 = GCF of 10152 and 10147
1. What is the GCF of 10147 and 10152?
Answer: GCF of 10147 and 10152 is 1.
2. What are the Factors of 10147?
Answer: Factors of 10147 are 1, 73, 139, 10147. There are 4 integers that are factors of 10147. The greatest factor of 10147 is 10147.
3. What are the Factors of 10152?
Answer: Factors of 10152 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 47, 54, 72, 94, 108, 141, 188, 216, 282, 376, 423, 564, 846, 1128, 1269, 1692, 2538, 3384, 5076, 10152. There are 32 integers that are factors of 10152. The greatest factor of 10152 is 10152.
4. How to Find the GCF of 10147 and 10152?
Answer:
Greatest Common Factor of 10147 and 10152 = 1
Step 1: Find the prime factorization of 10147
10147 = 73 x 139
Step 2: Find the prime factorization of 10152
10152 = 2 x 2 x 2 x 3 x 3 x 3 x 47
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 10147 and 10152 is 1