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What is the greatest common factor of 35 and 81?
The factors of 35 are 1, 5, 7, and 35. The factors of 81 are 1, 3, 9, 27, and 81. The only factor they have in common is 1. Therefore, 1 is the greatest common factor. This means that 35 and 81 are relatively prime. The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 35 are 5 and 7. The prime factors of 81 are 3, 3, 3, and 3. They have no prime factors in common, so they are relatively prime, which means the only factor they have in common is 1.
What is the greatest common factor of 35 and 42?
The greatest common factor can also be calculated by identifying the common prime factors and multiplying them together. The prime factors of 35 are 5 and 7. The prime factors of 42 are 2, 3, and 7. The common prime factors are a single 7, so the greatest common factor is 7.
What is the common factor of 27 and 35?
The factors of 35 are 1, 5, 7, and 35. The factors of 27 are 1, 3, 9, and 27. The only factor they have in common is 1; therefore, 35 and 27 are relatively prime. Alternatively, you can look at the prime factors. The prime factors of 35 are 5 and 7. The prime factors of 27 are 3, 3, and 3. They have no prime factors in common, so they are relatively prime, which means their only common factor is 1.
What is the least common factor of 14 and 35?
The factors of 14 are 1, 2, 7, and 14. The factors of 35 are 1, 5, 7, and 35. The common factors of 14 and 35 are 1 and 7. Therefore, the least common factor (the smallest common factor) is 1. The greatest common factor of 35 and 14 is 7.
What is the greatest common factor of 35 and 40?
The GCF of 35 and 40 is 5. The prime factorization of 35 is 5*7. The prime factorization of 40 is 2*2*2*5 The GCF is 5, which is the only common factor.
