Greatest Common Factor of 2628 and 2635

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 2628, 2635 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2628 and 2635 is 1.

GCF(2628,2635) = 1

GCF of 2628 and 2635

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 2628 and 2635

GCF of 2628 and 2635 is 1

Prime Factorization of 2628


2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 2628 are 2,3,73. Prime factorization of 2628 in exponential form is:

2628 = 22×32×731

Prime Factorization of 2635


5 2635
17 527
31 31
1

Prime factors of 2635 are 5,17,31. Prime factorization of 2635 in exponential form is:

2635 = 51×171×311

∴ So by taking common prime factors GCF of 2628 and 2635 is 1

Greatest Common Factor of 2628 and 2635 by matching factors method

Factors of 2628

List of positive integer factors of 2628 that divides 2628 without a remainder.

1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628

Factors of 2635

List of positive integer factors of 2635 that divides 2635 without a remainder.

1,5,17,31,85,155,527,2635

Greatest Common Factor

We found the factors and prime factorization of 2628 and 2635. The biggest common factor number is the GCF number.
So the greatest common factor 2628 and 2635 is 1.

Also check out the Least Common Multiple of 2628 and 2635

Properties of GCF 2628 and 2635

(i) The GCF of 2628 and 2635 is associative

GCF of 2628 and 2635 = GCF of 2635 and 2628

Related Greatest Common Factor of 2628

Related Greatest Common Factor of 2635

Frequently Asked Questions on GCF of 2628 and 2635

1. What is the GCF of 2628 and 2635?

Answer: GCF of 2628 and 2635 is 1.

2. What are the Factors of 2628?

Answer: Factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628. There are 18 integers that are factors of 2628. The greatest factor of 2628 is 2628.

3. What are the Factors of 2635?

Answer: Factors of 2635 are 1, 5, 17, 31, 85, 155, 527, 2635. There are 8 integers that are factors of 2635. The greatest factor of 2635 is 2635.

4. How to Find the GCF of 2628 and 2635?

Answer:

Greatest Common Factor of 2628 and 2635 = 1

Step 1: Find the prime factorization of 2628

2628 = 2 x 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 2635

2635 = 5 x 17 x 31

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 2628 and 2635 is 1