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600
600 = 2 x 2 x 2 x 3 x 5 x 5
600 and 10 560 and 50 400 and 210
The prime factors of 600 are 2, 2, 2, 3, 5, and 5. The prime factors of 1350 are 2, 3, 3, 3, 5, and 5. The prime factors they have in common are 2, 3, 5, and 5, so the greatest common factor is 2 x 3 x 5 x 5 = 150.
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