GCF of 75 and 1535

What is the GCF of 75 and 1535?


GCF of 75 and 1535

is 5

Formula How to

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What is the Greatest Common Factor of 75 and 1535? 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 75 and 1535 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 75.
    3, 5, 5
  2. Find the prime factors of the second number 1535.
    5, 307
  3. Multiply of all the common prime factors is the GCF value. Which is,
    5

Factors Method:

  1. Find the factors of the first number 75.
    1, 3, 5, 15, 25, 75
  2. Find the factors of the second number 1535.
    1, 5, 307, 1535
  3. The biggest common factor number is the GCF value. Which is,
    5

Number GCF LCM
75 & 1530 15 7650
75 & 1531 1 114825
75 & 1532 1 114900
75 & 1533 3 38325
75 & 1534 1 115050
75 & 1535 5 23025
75 & 1536 3 38400
75 & 1537 1 115275
75 & 1538 1 115350
75 & 1539 3 38475
75 & 1540 5 23100

GCF (Greatest Common Factor) of 75 and 1535 is 5.

GCD (Greatest Common Divisor) of 75 and 1535 is 5.

HCF (Highest Common Factor) of 75 and 1535 is 5.