When two or more numbers have one or more of the same primes as factors, those prime factors are called common prime factors. For example, the prime factors of 6 are 2 and 3, and the prime factors of 21 are 3 and 7, so 3 is a common prime factor of 6 and 21.
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The prime factors of 18 are 2, 3, and 3. The prime factors of 70 are 2, 5, and 7. The prime factors that 18 and 70 have in common are a single 2.
There are no common factors between these values since 11 is prime and 20 is composite. Then, there are no common prime factors between these values.
The Prime Factors of 60 are 2, 3, 5The Prime Factors of 50 are 2, 5
If there are no prime factors in common, the GCF is 1.
There is always a common factor. If there are no common prime factors, the GCF is 1.