GCF for 120 and 280

What is the Greatest common Divisor of 120 and 280?

Answer: GCF of 120 and 280 is 40

(Forty)

Finding GCF for 120 and 280 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 280 is to list all factors for both numbers and pick the highest common one:

All factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

All factors of 280: 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

So the Greatest Common Factor for 120 and 280 is 40

Finding GCF for 120 and 280 by Prime Factorization

The second method to find GCF for numbers 120 and 280 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 120: 2, 2, 2, 3, 5

All Prime Factors of 280: 2, 2, 2, 5, 7

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

Now we need to multiply them to find GCF: 2 × 2 × 2 × 5 = 40

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 120 and 280? (The answer is: 40). Select the first number (e.g. '120') and the second number (e.g. '280'). 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
10528035
1062802
1072801
1082804
1092801
11028010
1112801
11228056
1132801
1142802
1152805
1162804
1172801
1182802
1192807
120280
1212801
1222802
1232801
1242804
1252805
12628014
1272801
1282808
1292801
13028010
1312801
1322804
1332807
1342802

FAQ

What is the Greatest common Divisor of 120 and 280?

GCF of 120 and 280 is 40