Question

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FIND THE GCF OF (210,130)


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Answer 1

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ғɪɴᴅ ᴛʜᴇ ᴘʀɪᴍᴇ ғᴀᴄᴛᴏʀɪᴢᴀᴛɪᴏɴ ᴏғ 130

130 = 2 × 5 × 13

ғɪɴᴅ ᴛʜᴇ ᴘʀɪᴍᴇ ғᴀᴄᴛᴏʀɪᴢᴀᴛɪᴏɴ ᴏғ 210

210 = 2 × 3 × 5 × 7

ᴛᴏ ғɪɴᴅ ᴛʜᴇ ɢᴄғ, ᴍᴜʟᴛɪᴘʟʏ ᴀʟʟ ᴛʜᴇ ᴘʀɪᴍᴇ ғᴀᴄᴛᴏʀs ᴄᴏᴍᴍᴏɴ ᴛᴏ ʙᴏᴛʜ ɴᴜᴍʙᴇʀs:

ᴛʜᴇʀᴇғᴏʀᴇ, ɢᴄғ = 2 × 5

ɢᴄғ = 10

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Answer 2

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1. Find the prime factorization of 130
2. 130 = 2 × 5 × 13
3. Find the prime factorization of 210
4. 210 = 2 × 3 × 5 × 7
5. To find the GCF, multiply all the prime factors common to both numbers:
6. Therefore, GCF = 2 × 5
7. GCF = 10

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