GCF of 730 and 1010

What is the GCF of 730 and 1010?


GCF of 730 and 1010

is 10

Formula How to

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What is the Greatest Common Factor of 730 and 1010? 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 730 and 1010 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 730.
    2, 5, 73
  2. Find the prime factors of the second number 1010.
    2, 5, 101
  3. Multiply of all the common prime factors is the GCF value. Which is,
    10

Factors Method:

  1. Find the factors of the first number 730.
    1, 2, 5, 10, 73, 146, 365, 730
  2. Find the factors of the second number 1010.
    1, 2, 5, 10, 101, 202, 505, 1010
  3. The biggest common factor number is the GCF value. Which is,
    10

GCF (Greatest Common Factor) of 730 and 1010 is 10.

GCD (Greatest Common Divisor) of 730 and 1010 is 10.

HCF (Highest Common Factor) of 730 and 1010 is 10.

Number GCF LCM
730 & 1005 5 146730
730 & 1006 2 367190
730 & 1007 1 735110
730 & 1008 2 367920
730 & 1009 1 736570
730 & 1010 10 73730
730 & 1011 1 738030
730 & 1012 2 369380
730 & 1013 1 739490
730 & 1014 2 370110
730 & 1015 5 148190