GCF of 16 and 64

What is the GCF of 16 and 64?

GCF of 16 and 64

is 16

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Greatest Common Factor

What is the Greatest Common Factor of 16 and 64? The greatest common factor (GCF) of a set of numbers is the largest positive integer that divides each of the numbers evenly. It's also called the greatest common divisor (GCD).

The GCF can be found using a variety of methods, including prime factorization and division. The Euclidean algorithm is a commonly used method for finding the GCF of two numbers, and it can be extended to finding the GCF of more than two numbers.

To find GCF (Greatest Common Factor) between two numbers, mainly there are two methods available, Those are-

1. Prime Factorization Method: Find the prime factors of both number and then multiply of all the common prime factors value, you will get the GCF value.

2. Factors Method: Find the factors of both number. In those both factors the highest common factor number is the GCF value.

For calculation, here's how to calculate GCF of 16 and 64 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 16.
    2, 2, 2, 2
  2. Find the prime factors of the second number 64.
    2, 2, 2, 2, 2, 2
  3. Multiply of all the common prime factors is the GCF value. Which is,
    16

Factors Method:

  1. Find the factors of the first number 16.
    1, 2, 4, 8, 16
  2. Find the factors of the second number 64.
    1, 2, 4, 8, 16, 32, 64
  3. The biggest common factor number is the GCF value. Which is,
    16

Number GCF LCM
16 & 59 1 944
16 & 60 4 240
16 & 61 1 976
16 & 62 2 496
16 & 63 1 1008
16 & 64 16 64
16 & 65 1 1040
16 & 66 2 528
16 & 67 1 1072
16 & 68 4 272
16 & 69 1 1104

GCF (Greatest Common Factor) of 16 and 64 is 16.

GCD (Greatest Common Divisor) of 16 and 64 is 16.

HCF (Highest Common Factor) of 16 and 64 is 16.
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