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Q: What is the GCF of 44 and 47 If there is none is it relatively prime?

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Yes, they are relatively prime.

The GCF is 1.

No.

44

Since 23 is a prime number, and is not a factor of 44, the greatest common factor (GCF) of 23 and 44 is 1.

Prime Factorization: 72= 2x2x2x3x3 44=2x2x11 GCF: 2x2 =4 LCM: 2x2x2x3x3x11=792

The GCF of 21 and 44 is 1. The only proper divisors of 21 are 3 and 7. The only proper divisors of 44 are 2,4 and 11. So, could it be that there are no common factors? No! We forgot about 1 which is a divisor of every number. 1 is the only common factor of 21 and 44, so it has to be the greatest. Rule: if nothing else divides two numbers the greatest common factor is 1. We say such numbers are relatively prime to each other. 21 is relatively prime to 44 and 44 is relatively prime to 21 but neither number is prime. Exercise : Prove : If p and q are two different primes, then p and q are relatively prime.

The GCF of 21, 33, and 44 is 1. Note that the factors of 21 are 1,3,7 and 21 itself. Of these none is a factor of 33 and 44 except 1. You can look at the prime factorization of the numbers. Note there is no prime in common with all three numbers in the set, so the GCF is 1. 3x7=21 11x3=33 11x22 =44

1, since 17 is a prime number

Prime factorization of: 30 = 2 x 3 x 5 44 = 2 x..........2 x 11 ================ GCF=2

The GCF is 2.

The greatest common factor of 16 and 44 is 4.The first step to finding the GCF is to find all prime factors of both numbers. In this case we have:44 = 2x2x1116 = 2x2x2x2Now you find any factors which are the same in both. We can see that both 44 and 16 have two 2s in their prime factors. To find the GCF, we simply multiply these shared factors together:2x2=4So the GCF of 44 and 16 is 4.The GCF is 4.

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