The GCF is 5.
Write the numbers in their prime factorisations. the GCF is the product of the common primes (each time they appear). Example: 30 and 42 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6, the GCF Example: 24 and 60 24 = 2 × 2 × 2 × 3 60 = 2 × 2 × 3 × 5 GCF = 2 × 2 × 3 = 12 The prime 2 appears twice in both numbers. If you use the power format of the prime factorisation, the GCF is the product of each of the common primes to the LOWEST power across the numbers. For 24 and 60 this gives: 24 = 2³ × 3 60 = 2² × 3 × 5 → GCF = 2² × 3 = 12 As the lowest power of 2 across the numbers is 2², the lowest power of 3 across the numbers is 3 = 3¹, 5 is not common, but for completeness, 24 = 2³ × 3¹ × 5⁰ since 5⁰ = 1, so the lowest power of the prime 5 across the numbers is 5⁰: → GCF = 2² × 3¹ × 5⁰ = 4 × 3 × 1 = 12.
The gcf is the greatest common factor. A way of finding the gcf of three numbers is to find the gcf of the first two and then finding the gcf of that number and the third number. Because of the unique prime factorization theorem, the greatest common factor will be a product of some of the prime factors in either number. The prime factorization of 40 is 2^3 * 5 and the prime factorization of 60 is 2^2 * 3 * 5, so the gcf is going to be what is in both, or, in this case, 2^2 * 5. Th prime factorization of 80 is 2^4 * 5 and so gcf of all three numbers is 2^2 * 5, or 20.
2 numbers have a gcf of 3 = 3 & 6, 6 &9,...
The GCF of 5 and 8 is 1. The LCM is 40.
The GCF is 2.
factor out both numbers to get 102=2*3*17 50=2*5*5 the GCF is 2
The GCF is 1.
10 and 15
The GCF of 5 and 10 is 5.
the GCF of 4 3 5 is 1
The GCF of 5 and 10 is 5.
The GCF is 5.
The GCF is 5.
The GCF of these three numbers is 5.
Write the numbers in their prime factorisations. the GCF is the product of the common primes (each time they appear). Example: 30 and 42 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6, the GCF Example: 24 and 60 24 = 2 × 2 × 2 × 3 60 = 2 × 2 × 3 × 5 GCF = 2 × 2 × 3 = 12 The prime 2 appears twice in both numbers. If you use the power format of the prime factorisation, the GCF is the product of each of the common primes to the LOWEST power across the numbers. For 24 and 60 this gives: 24 = 2³ × 3 60 = 2² × 3 × 5 → GCF = 2² × 3 = 12 As the lowest power of 2 across the numbers is 2², the lowest power of 3 across the numbers is 3 = 3¹, 5 is not common, but for completeness, 24 = 2³ × 3¹ × 5⁰ since 5⁰ = 1, so the lowest power of the prime 5 across the numbers is 5⁰: → GCF = 2² × 3¹ × 5⁰ = 4 × 3 × 1 = 12.
45 and 10