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The GCF of 65, 143, and 169 is 13

The factors of 169 are 1, 13, and 169

The factors of 65 are 1, 5, 13, and 65

The factors of 143 are 1, 11, 13, and 143

GCF (169, 65, 143) = 13

Express the numbers' prime composition in power notation and use the lowest power of each prime across the numbers (if a prime does not appear in one of the numbers, its power is 0, since p⁰ = 1):

169 = 13²

65 = 5¹ × 13¹

143 = 11¹ × 13¹

hcf = 5⁰ × 11⁰ × 13¹

= 1 x 1 x 13

= 13

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7y ago

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