GCF for 130 and 182

What is the Greatest common Divisor of 130 and 182?

Answer: GCF of 130 and 182 is 26

(Twenty-six)

Finding GCF for 130 and 182 using all factors (divisors) listing

The first method to find GCF for numbers 130 and 182 is to list all factors for both numbers and pick the highest common one:

All factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

All factors of 182: 1, 2, 7, 13, 14, 26, 91, 182

So the Greatest Common Factor for 130 and 182 is 26

Finding GCF for 130 and 182 by Prime Factorization

The second method to find GCF for numbers 130 and 182 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 130: 2, 5, 13

All Prime Factors of 182: 2, 7, 13

As we can see there are Prime Factors common to both numbers: 2, 13

Now we need to multiply them to find GCF: 2 × 13 = 26

GCF Table

Number 1Number 2GCF
1151821
1161822
11718213
1181822
1191827
1201822
1211821
1221822
1231821
1241822
1251821
12618214
1271821
1281822
1291821
130182
1311821
1321822
1331827
1341822
1351821
1361822
1371821
1381822
1391821
14018214
1411821
1421822
14318213
1441822

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 130 and 182? (The answer is: 26). Select the first number (e.g. '130') and the second number (e.g. '182'). 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 130 and 182?

GCF of 130 and 182 is 26