GCF for 42 and 1365

What is the Greatest common Divisor of 42 and 1365?

Answer: GCF of 42 and 1365 is 21

(Twenty-one)

Finding GCF for 42 and 1365 using all factors (divisors) listing

The first method to find GCF for numbers 42 and 1365 is to list all factors for both numbers and pick the highest common one:

All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

All factors of 1365: 1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 91, 105, 195, 273, 455, 1365

So the Greatest Common Factor for 42 and 1365 is 21

Finding GCF for 42 and 1365 by Prime Factorization

The second method to find GCF for numbers 42 and 1365 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 42: 2, 3, 7

All Prime Factors of 1365: 3, 5, 7, 13

As we can see there are Prime Factors common to both numbers: 3, 7

Now we need to multiply them to find GCF: 3 × 7 = 21

See Also

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 42 and 1365? (The answer is: 21). Select the first number (e.g. '42') and the second number (e.g. '1365'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

GCF Table

Number 1Number 2GCF
2713653
2813657
2913651
30136515
3113651
3213651
3313653
3413651
35136535
3613653
3713651
3813651
39136539
4013655
4113651
421365
4313651
4413651
45136515
4613651
4713651
4813653
4913657
5013655
5113653
52136513
5313651
5413653
5513655
5613657

FAQ

What is the Greatest common Divisor of 42 and 1365?

GCF of 42 and 1365 is 21