GCF for 45 and 72
"Greatest Common Factor" Calculator
What is the Greatest common Divisor of 45 and 72?
Answer: GCF of 45 and 72 is 9
(Nine)
Finding GCF for 45 and 72 using all factors (divisors) listing
The first method to find GCF for numbers 45 and 72 is to list all factors for both numbers and pick the highest common one:
All factors of 45: 1, 3, 5, 9, 15, 45
All factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
So the Greatest Common Factor for 45 and 72 is 9
Finding GCF for 45 and 72 by Prime Factorization
The second method to find GCF for numbers 45 and 72 is to list all Prime Factors for both numbers and multiply the common ones:
All Prime Factors of 45: 3, 3, 5
All Prime Factors of 72: 2, 2, 2, 3, 3
As we can see there are Prime Factors common to both numbers: 3, 3
Now we need to multiply them to find GCF: 3 × 3 = 9
Related Calculations
See Also
- Least Common Multiple - Find the Least Common Multiple (LCM) of two numbers
About "Greatest Common Factor" Calculator
This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 45 and 72? (The answer is: 9). Select the first number (e.g. '45') and the second number (e.g. '72'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder
"Greatest Common Factor" Calculator
GCF Table
FAQ
What is the Greatest common Divisor of 45 and 72?
GCF of 45 and 72 is 9
See Also
- What is the GCF of 45 and 49
- What is the GCF of 45 and 50
- What is the GCF of 45 and 51
- What is the GCF of 45 and 54
- What is the GCF of 45 and 55
- What is the GCF of 45 and 56
- What is the GCF of 45 and 60
- What is the GCF of 45 and 63
- What is the GCF of 45 and 65
- What is the GCF of 45 and 70
- What is the GCF of 45 and 75
- What is the GCF of 45 and 76
- What is the GCF of 45 and 81
- What is the GCF of 45 and 90
- What is the GCF of 45 and 98
- What is the GCF of 45 and 100
- What is the GCF of 45 and 105
- What is the GCF of 45 and 120
- What is the GCF of 45 and 135
- What is the GCF of 45 and 150
- Наибольший общий делитель 45 и 72