GCF for 120 and 160

What is the Greatest common Divisor of 120 and 160?

Answer: GCF of 120 and 160 is 40

(Forty)

Finding GCF for 120 and 160 using all factors (divisors) listing

The first method to find GCF for numbers 120 and 160 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 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

So the Greatest Common Factor for 120 and 160 is 40

Finding GCF for 120 and 160 by Prime Factorization

The second method to find GCF for numbers 120 and 160 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 160: 2, 2, 2, 2, 2, 5

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 160? (The answer is: 40). Select the first number (e.g. '120') and the second number (e.g. '160'). 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
1051605
1061602
1071601
1081604
1091601
11016010
1111601
11216016
1131601
1141602
1151605
1161604
1171601
1181602
1191601
120160
1211601
1221602
1231601
1241604
1251605
1261602
1271601
12816032
1291601
13016010
1311601
1321604
1331601
1341602

FAQ

What is the Greatest common Divisor of 120 and 160?

GCF of 120 and 160 is 40