GCF of 70 and 1009

What is the GCF of 70 and 1009?


GCF of 70 and 1009

is 1

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What is the Greatest Common Factor of 70 and 1009? 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 70 and 1009 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 70.
    2, 5, 7
  2. Find the prime factors of the second number 1009.
    1009
  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 70.
    1, 2, 5, 7, 10, 14, 35, 70
  2. Find the factors of the second number 1009.
    1, 1009
  3. The biggest common factor number is the GCF value. Which is,
    1

GCF (Greatest Common Factor) of 70 and 1009 is 1.

GCD (Greatest Common Divisor) of 70 and 1009 is 1.

HCF (Highest Common Factor) of 70 and 1009 is 1.

Number GCF LCM
70 & 1004 2 35140
70 & 1005 5 14070
70 & 1006 2 35210
70 & 1007 1 70490
70 & 1008 14 5040
70 & 1009 1 70630
70 & 1010 10 7070
70 & 1011 1 70770
70 & 1012 2 35420
70 & 1013 1 70910
70 & 1014 2 35490