GCF of 1009 and 60

What is the GCF of 1009 and 60?


GCF of 1009 and 60

is 1

Formula How to

Share This Calculation:
Reference This Calculation:

What is the Greatest Common Factor of 1009 and 60? 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 60 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 60.
    2, 2, 3, 5
  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 60.
    1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 1009 and 60 is 1.

GCD (Greatest Common Divisor) of 1009 and 60 is 1.

HCF (Highest Common Factor) of 1009 and 60 is 1.

Number GCF LCM
1009 & 55 1 55495
1009 & 56 1 56504
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