GCF (HCF) of 63 and 21
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What is the Greatest Common Divisor of 63 and 21?
Answer
GCF (HCF) of 63 and 21 is
21
Common factors: 1, 3, 7, 21
21 divides 63 (63 ÷ 21 = 3), so the GCF is the smaller number itself.
63 = 32 × 7
21 = 3 × 7
| Prime | 63 | 21 | Lowest power |
|---|---|---|---|
| 3 | 32 | 3 | 3 |
| 7 | 7 | 7 | 7 |
GCF = 3 × 7 = 21
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See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
GCF Table
| Number 1 | Number 2 | GCF |
|---|---|---|
| 63 | 6 | 3 |
| 63 | 7 | 7 |
| 63 | 8 | 1 |
| 63 | 9 | 9 |
| 63 | 10 | 1 |
| 63 | 11 | 1 |
| 63 | 12 | 3 |
| 63 | 13 | 1 |
| 63 | 14 | 7 |
| 63 | 15 | 3 |
| 63 | 16 | 1 |
| 63 | 17 | 1 |
| 63 | 18 | 9 |
| 63 | 19 | 1 |
| 63 | 20 | 1 |
| 63 | 21 | 21 |
| 63 | 22 | 1 |
| 63 | 23 | 1 |
| 63 | 24 | 3 |
| 63 | 25 | 1 |
| 63 | 26 | 1 |
| 63 | 27 | 9 |
| 63 | 28 | 7 |
| 63 | 29 | 1 |
| 63 | 30 | 3 |
| 63 | 31 | 1 |
| 63 | 32 | 1 |
| 63 | 33 | 3 |
| 63 | 34 | 1 |
| 63 | 35 | 7 |
FAQ
What is the Greatest Common Divisor of 63 and 21?
GCF (HCF) of 63 and 21 is 21
How to find the GCF of 63 and 21?
You can find the GCF of 63 and 21 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 63 and 21 is 21.
What prime factors do 63 and 21 share?
The prime factorizations of 63 and 21 have 3 × 7 in common, and multiplying those shared primes gives 21 — exactly the greatest common factor.
How does the GCF reduce the fraction 63/21?
Divide the numerator and the denominator by the GCF 21: 63 ÷ 21 = 3 and 21 ÷ 21 = 1. So 63/21 in lowest terms is 3/1.
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