GCF for 100 and 675

What is the Greatest Common Factor of 100 and 675?

Answer: GCF of 100 and 675 is 25

(Twenty-five)

Finding GCF for 100 and 675 using all factors (divisors) listing

The first method to find GCF for numbers 100 and 675 is to list all factors for both numbers and pick the highest common one:

All factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

All factors of 675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

So the Greatest Common Factor for 100 and 675 is 25

Finding GCF for 100 and 675 by Prime Factorization

The second method to find GCF for numbers 100 and 675 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 100: 2, 2, 5, 5

All Prime Factors of 675: 3, 3, 3, 5, 5

As we can see there are Prime Factors common to both numbers: 5, 5

Now we need to multiply them to find GCF: 5 × 5 = 25

GCF Table

Number 1Number 2GCF
856755
866751
876753
886751
896751
9067545
916751
926751
936753
946751
956755
966753
976751
986751
996759
10067525
1016751
1026753
1036751
1046751
10567515
1066751
1076751
10867527
1096751
1106755
1116753
1126751
1136751
1146753

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Factor of 100 and 675? (The answer is: 25). Select the first number (e.g. '100') and the second number (e.g. '675'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest Common Factor of 100 and 675?

GCF of 100 and 675 is 25