GCF of 1009 and 62

What is the GCF of 1009 and 62?


GCF of 1009 and 62

is 1

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What is the Greatest Common Factor of 1009 and 62? 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 1009 and 62 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 1009.
    1009
  2. Find the prime factors of the second number 62.
    2, 31
  3. If, There are no common prime factors then the GCF value will be
    1

Factors Method:

  1. Find the factors of the first number 1009.
    1, 1009
  2. Find the factors of the second number 62.
    1, 2, 31, 62
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1009 and 62 is 1.

GCD (Greatest Common Divisor) of 1009 and 62 is 1.

HCF (Highest Common Factor) of 1009 and 62 is 1.

Number GCF LCM
1009 & 57 1 57513
1009 & 58 1 58522
1009 & 59 1 59531
1009 & 60 1 60540
1009 & 61 1 61549
1009 & 62 1 62558
1009 & 63 1 63567
1009 & 64 1 64576
1009 & 65 1 65585
1009 & 66 1 66594
1009 & 67 1 67603