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 948, 951 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 948 and 951 is 3.
GCF(948,951) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 948
2 | 948 |
2 | 474 |
3 | 237 |
79 | 79 |
1 |
Prime factors of 948 are 2,3,79. Prime factorization of 948 in exponential form is:
948 = 22×31×791
Prime Factorization of 951
3 | 951 |
317 | 317 |
1 |
Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:
951 = 31×3171
∴ So by taking common prime factors GCF of 948 and 951 is 3
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors and prime factorization of 948 and 951. The biggest common factor number is the GCF number.
So the greatest common factor 948 and 951 is 3.
Also check out the Least Common Multiple of 948 and 951
(i) The GCF of 948 and 951 is associative
GCF of 948 and 951 = GCF of 951 and 948
1. What is the GCF of 948 and 951?
Answer: GCF of 948 and 951 is 3.
2. What are the Factors of 948?
Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.
3. What are the Factors of 951?
Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.
4. How to Find the GCF of 948 and 951?
Answer:
Greatest Common Factor of 948 and 951 = 3
Step 1: Find the prime factorization of 948
948 = 2 x 2 x 3 x 79
Step 2: Find the prime factorization of 951
951 = 3 x 317
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 948 and 951 is 3