GCF (HCF) of 38 and 49

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What is the Greatest Common Divisor of 38 and 49?

Answer

GCF (HCF) of 38 and 49 is
1

Common factors: 1

Only 1 divides both: 38 and 49 share no prime factor.

Such numbers are called coprime (relatively prime); their LCM is just the product: 38 × 49 = 1,862.

38 = 2 × 19

49 = 72

Prime3849Lowest power
22——
7—72—
1919——

— = 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
38342
38351
38362
38371
383838
38391
38402
38411
38422
38431
38442
38451
38462
38471
38482
38491
38502
38511
38522
38531
38542
38551
38562
385719
38582
38591
38602
38611
38622
38631

FAQ

What is the Greatest Common Divisor of 38 and 49?

GCF (HCF) of 38 and 49 is 1

How to find the GCF of 38 and 49?

You can find the GCF of 38 and 49 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 38 and 49 is 1.

What prime factors do 38 and 49 share?

38 and 49 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 38/49?

Divide the numerator and the denominator by the GCF 1: 38 ÷ 1 = 38 and 49 ÷ 1 = 49. So 38/49 in lowest terms is 38/49.

Are 38 and 49 coprime?

Yes, 38 and 49 are coprime (relatively prime) because their Greatest Common Factor is 1.

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