GCF for 70 and 120

What is the Greatest Common Factor of 70 and 120?

Answer: GCF of 70 and 120 is 10

(Ten)

Finding GCF for 70 and 120 using all factors (divisors) listing

The first method to find GCF for numbers 70 and 120 is to list all factors for both numbers and pick the highest common one:

All factors of 70: 1, 2, 5, 7, 10, 14, 35, 70

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

So the Greatest Common Factor for 70 and 120 is 10

Finding GCF for 70 and 120 by Prime Factorization

The second method to find GCF for numbers 70 and 120 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 70: 2, 5, 7

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

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
551205
561208
571203
581202
591201
60120
611201
621202
631203
641208
651205
661206
671201
681204
691203
7012010
711201
72120
731201
741202
75120
761204
771201
781206
791201
8012040
811203
821202
831201
84120

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 Factor of 70 and 120? (The answer is: 10). Select the first number (e.g. '70') and the second number (e.g. '120'). 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 Factor of 70 and 120?

GCF of 70 and 120 is 10