GCF of 48 and 49 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 48 and 49?

Answer

GCF of 48 and 49 is
1

(One)

Finding GCF for 48 and 49 using all factors (divisors) listing

The first method to find GCF for numbers 48 and 49 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 49: 1, 7, 49

So the Greatest Common Factor for 48 and 49 is 1

Finding GCF for 48 and 49 by Prime Factorization

The numbers 48 and 49 have no common prime factors, which means they are coprime (relatively prime). Therefore, GCF = 1.

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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 49? (The answer is: 1). Select the first number (e.g. '48') and the second number (e.g. '49'). 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.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
481212
483216
483612
48491
48502
48513
48524
48531
48546
48568
48573
48582
48591
486012
487224
488016
4812024

FAQ

What is the Greatest Common Divisor of 48 and 49?

GCF of 48 and 49 is 1

How to find the GCF of 48 and 49?

You can find the GCF of 48 and 49 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 49 is 1.

What prime factors do 48 and 49 share?

48 and 49 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 48/49?

Divide the numerator and the denominator by the GCF 1: 48 ÷ 1 = 48 and 49 ÷ 1 = 49. So 48/49 in lowest terms is 48/49.

Are 48 and 49 coprime?

Yes, 48 and 49 are coprime (relatively prime) because their Greatest Common Factor is 1.

See Also