GCF (HCF) of 55 and 58

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What is the Greatest Common Divisor of 55 and 58?

Answer

GCF (HCF) of 55 and 58 is
1

Common factors: 1

Only 1 divides both: 55 and 58 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 55 × 58 = 3,190.

55 = 5 × 11

58 = 2 × 29

Prime5558Lowest power
2—2—
55——
1111——
29—29—

— = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

GCF = 1

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GCF Table

Number 1Number 2GCF
55431
554411
55455
55461
55471
55481
55491
55505
55511
55521
55531
55541
555555
55561
55571
55581
55591
55605
55611
55621
55631
55641
55655
556611
55671
55681
55691
55705
55711
55721

FAQ

What is the Greatest Common Divisor of 55 and 58?

GCF (HCF) of 55 and 58 is 1

How to find the GCF of 55 and 58?

You can find the GCF of 55 and 58 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 58 is 1.

What prime factors do 55 and 58 share?

55 and 58 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

How does the GCF reduce the fraction 55/58?

Divide the numerator and the denominator by the GCF 1: 55 ÷ 1 = 55 and 58 ÷ 1 = 58. So 55/58 in lowest terms is 55/58.

Are 55 and 58 coprime?

Yes, 55 and 58 are coprime (relatively prime) because their Greatest Common Factor is 1.

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