Solutions by » GCF of two numbers

What is the GCF of 175 and 30?

The GCF of 175 and 30 is 5.

Steps to find GCF

  1. Find the prime factorization of 175
    175 = 5 × 5 × 7
  2. Find the prime factorization of 30
    30 = 2 × 3 × 5
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 5

MathStep (Works offline)

Download our mobile app and learn how to find GCF of upto four numbers in your own time:
Android and iPhone/ iPad


Find hcf of:

GCF Calculator

Enter two numbers separate by comma. To find GCF of more than two numbers, click here.

The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).