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 652, 654 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 652 and 654 is 2.
GCF(652,654) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 652
2 | 652 |
2 | 326 |
163 | 163 |
1 |
Prime factors of 652 are 2,163. Prime factorization of 652 in exponential form is:
652 = 22×1631
Prime Factorization of 654
2 | 654 |
3 | 327 |
109 | 109 |
1 |
Prime factors of 654 are 2,3,109. Prime factorization of 654 in exponential form is:
654 = 21×31×1091
∴ So by taking common prime factors GCF of 652 and 654 is 2
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Greatest Common Factor
We found the factors and prime factorization of 652 and 654. The biggest common factor number is the GCF number.
So the greatest common factor 652 and 654 is 2.
Also check out the Least Common Multiple of 652 and 654
(i) The GCF of 652 and 654 is associative
GCF of 652 and 654 = GCF of 654 and 652
1. What is the GCF of 652 and 654?
Answer: GCF of 652 and 654 is 2.
2. What are the Factors of 652?
Answer: Factors of 652 are 1, 2, 4, 163, 326, 652. There are 6 integers that are factors of 652. The greatest factor of 652 is 652.
3. What are the Factors of 654?
Answer: Factors of 654 are 1, 2, 3, 6, 109, 218, 327, 654. There are 8 integers that are factors of 654. The greatest factor of 654 is 654.
4. How to Find the GCF of 652 and 654?
Answer:
Greatest Common Factor of 652 and 654 = 2
Step 1: Find the prime factorization of 652
652 = 2 x 2 x 163
Step 2: Find the prime factorization of 654
654 = 2 x 3 x 109
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 652 and 654 is 2