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What is the GCF of the numbers 141 and 192?
The GCF is 3.
What is the LCM of 2 numbers that is 24 and the gcf is 12?
If the GCF of two numbers is 12 and the LCM is 24, the two numbers are 12 and 24.
How do you use prime factorization to find the gcf of two numbers?
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.
What is the GCF and LCM of 96 and 108?
96=2*2*2*2*2*3 108=2*2*3*3*3 They both have two 2s and one 3 in common. For GCF, multiply all the numbers that they have in common together. 2*2*3=12. For LCM, multiply the two given numbers together and divide that by the GCF. 96*108=10368, 10368/12=864. So GCF=12 and LCM=864.
The LCM of two numbers is 72. Their GCF is 6. One of the numbers is 24. What is the other number?
LCM = 2 x 2 x 2 x 3 x 3, GCF = 2 x 3, 24 = 2 x 2 x 2 x 3 Other number = 2 x 3 x 3 = 18
