GCF for 48 and 102

What is the Greatest common Divisor of 48 and 102?

Answer: GCF of 48 and 102 is 6

(Six)

Finding GCF for 48 and 102 using all factors (divisors) listing

The first method to find GCF for numbers 48 and 102 is to list all factors for both numbers and pick the highest common one:

All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

All factors of 102: 1, 2, 3, 6, 17, 34, 51, 102

So the Greatest Common Factor for 48 and 102 is 6

Finding GCF for 48 and 102 by Prime Factorization

The second method to find GCF for numbers 48 and 102 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 48: 2, 2, 2, 2, 3

All Prime Factors of 102: 2, 3, 17

As we can see there are Prime Factors common to both numbers: 2, 3

Now we need to multiply them to find GCF: 2 × 3 = 6

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 48 and 102? (The answer is: 6). Select the first number (e.g. '48') and the second number (e.g. '102'). 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
331023
3410234
351021
361026
371021
381022
391023
401022
411021
421026
431021
441022
451023
461022
471021
48102
491021
501022
5110251
521022
531021
541026
551021
561022
571023
581022
591021
601026
611021
621022

FAQ

What is the Greatest common Divisor of 48 and 102?

GCF of 48 and 102 is 6