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Why is the gcf of two prime numbers always 1?

Anonymous

∙ 9y ago

Updated: 4/28/2022

Because they don't have any other factors in common.

Wiki User

∙ 9y ago

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How do you find out how numbers are relatively prime?

Two numbers are relatively prime if their GCF is 1.

What is the GCF of 23 and 29 with work?

23 and 29 are both prime numbers. The GCF of any two prime numbers is 1.

What is the greatest common factor of two consecutive numbers?

The GCF of two consecutive numbers is always 1. The GCF of any set of numbers can't be greater than the smallest of the differences between the numbers.

What is always true about the numerator and denominator of a fraction in simplest form?

Their GCF is 1.

Is the GCF of any two even numbers is always even?

The GCF of any two odd numbers is always odd. The GCF of any two even numbers is always even. The GCF of an odd and an even number is always odd.

Related Questions

Is the gcf of two prime numbers always 1?

Yes

What is the HCF of two co-prime numbers is always?

The GCF is always 1.

What two numbers have GCF that contains two prime numbers what is the answer?

The GCF of two prime numbers is 1.

Can a GCF of two primes numbers be 1?

Yes because 1 is a factor of any prime number. In fact, 1 is always the gcd (same as gcf) of any two distinct prime numbers.

What two numbers have 1 as there gcf?

Prime and relatively prime numbers all have a GCF of 1.

What two numbers have a gcf that contains two prime numbers?

23 and 46 have a GCF of 23.

How can you use the prime factorization of two numbers to determine whether they are relatively prime?

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.

If two numbers are prime what is the GCF?

1

What is the gcf of any two distinct prime numbers?

The GCF is 1.

How do you find out how numbers are relatively prime?

Two numbers are relatively prime if their GCF is 1.

What is the GCF of 23 and 29 with work?

23 and 29 are both prime numbers. The GCF of any two prime numbers is 1.

What is always true about the numerator and denominator of a fraction in simplest form?

Their GCF is 1.

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