GCF of 925 and 475

What is the GCF of 925 and 475?


GCF of 925 and 475

is 25

Formula How to

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What is the Greatest Common Factor of 925 and 475? 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 925 and 475 using those formula above, step by step instructions are given below

Prime Factorization Method:

  1. Find the prime factors of the first number 925.
    5, 5, 37
  2. Find the prime factors of the second number 475.
    5, 5, 19
  3. Multiply of all the common prime factors is the GCF value. Which is,
    25

Factors Method:

  1. Find the factors of the first number 925.
    1, 5, 25, 37, 185, 925
  2. Find the factors of the second number 475.
    1, 5, 19, 25, 95, 475
  3. The biggest common factor number is the GCF value. Which is,
    25

Number GCF LCM
925 & 470 5 86950
925 & 471 1 435675
925 & 472 1 436600
925 & 473 1 437525
925 & 474 1 438450
925 & 475 25 17575
925 & 476 1 440300
925 & 477 1 441225
925 & 478 1 442150
925 & 479 1 443075
925 & 480 5 88800

GCF (Greatest Common Factor) of 925 and 475 is 25.

GCD (Greatest Common Divisor) of 925 and 475 is 25.

HCF (Highest Common Factor) of 925 and 475 is 25.