One solution would be to list the factors of the two numbers and find all the common factors. The greatest one would be the greatest common factor.
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Take the number 9 and figure out what whole numbers you could multiply together to get that answer. Exclude the numbers and 9. Now take the number 12 and figure out what whole numbers you could multiply to get it. Exclude 1 and 12.When you're all done, look at them to see what number they have in common. That will be your common factor!
But you do know the factors of prime numbers. Every prime number has two factors: one and the number itself.
Find a common factor of 21 and 56 and divide both by that factor to give two new numbers. If necessary, repeat the process with a common factor of these two numbers and so on. This looping can be done in one step if you can find the greatest common factor. So, for 21 and 56, the GCF = 7 So 21/56 = (21/7) / (56/7) = 3/8
one method is simply writing out all the factors of both 48 and 84: 48's factors: 1,48,2,24,4,12,16,3,8,6 84's factors:1,84,2,42,3,28,4,21,6,14,7,12 therefore by comparison greatest factor is 12. The only other way i know is by reducing to prime factor form: 48 is 2^4 x 3 and 84 is 2^2x3x7 You can then see the highest common factor will be by using 2^2 x 3 which is common in the prime factors of 48 ad 84 (2^2 x 3 = 12)
To figure out the HCF of 28 and 60, split them up into their prime factors: 28 = 2x2x7 60 = 2x2x3x5 The next step is to identify any common prime factors. In this case, both numbers have two 2s as prime factors. Multiply these together and you get: 2x2 = 4 Therefore 4 is the HCF of 28 and 60.