GCF for 100 and 410

What is the Greatest common Divisor of 100 and 410?

Answer: GCF of 100 and 410 is 10

(Ten)

Finding GCF for 100 and 410 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 410 is to list all factors for both numbers and pick the highest common one:

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

All factors of 410: 1, 2, 5, 10, 41, 82, 205, 410

So the Greatest Common Factor for 100 and 410 is 10

Finding GCF for 100 and 410 by Prime Factorization

The second method to find GCF for numbers 100 and 410 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 2, 5, 5

All Prime Factors of 410: 2, 5, 41

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

GCF Table

Number 1Number 2GCF
854105
864102
874101
884102
894101
9041010
914101
924102
934101
944102
954105
964102
974101
984102
994101
10041010
1014101
1024102
1034101
1044102
1054105
1064102
1074101
1084102
1094101
11041010
1114101
1124102
1134101
1144102

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 100 and 410? (The answer is: 10). Select the first number (e.g. '100') and the second number (e.g. '410'). 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

FAQ

What is the Greatest common Divisor of 100 and 410?

GCF of 100 and 410 is 10