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 639, 642 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 639 and 642 is 3.
GCF(639,642) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 639
3 | 639 |
3 | 213 |
71 | 71 |
1 |
Prime factors of 639 are 3,71. Prime factorization of 639 in exponential form is:
639 = 32×711
Prime Factorization of 642
2 | 642 |
3 | 321 |
107 | 107 |
1 |
Prime factors of 642 are 2,3,107. Prime factorization of 642 in exponential form is:
642 = 21×31×1071
∴ So by taking common prime factors GCF of 639 and 642 is 3
Factors of 639
List of positive integer factors of 639 that divides 639 without a remainder.
1,3,9,71,213,639
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors and prime factorization of 639 and 642. The biggest common factor number is the GCF number.
So the greatest common factor 639 and 642 is 3.
Also check out the Least Common Multiple of 639 and 642
(i) The GCF of 639 and 642 is associative
GCF of 639 and 642 = GCF of 642 and 639
1. What is the GCF of 639 and 642?
Answer: GCF of 639 and 642 is 3.
2. What are the Factors of 639?
Answer: Factors of 639 are 1, 3, 9, 71, 213, 639. There are 6 integers that are factors of 639. The greatest factor of 639 is 639.
3. What are the Factors of 642?
Answer: Factors of 642 are 1, 2, 3, 6, 107, 214, 321, 642. There are 8 integers that are factors of 642. The greatest factor of 642 is 642.
4. How to Find the GCF of 639 and 642?
Answer:
Greatest Common Factor of 639 and 642 = 3
Step 1: Find the prime factorization of 639
639 = 3 x 3 x 71
Step 2: Find the prime factorization of 642
642 = 2 x 3 x 107
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 639 and 642 is 3