GCF for 140 and 200

What is the Greatest common Divisor of 140 and 200?

Answer: GCF of 140 and 200 is 20

(Twenty)

Finding GCF for 140 and 200 using all factors (divisors) listing

The first method to find GCF for numbers 140 and 200 is to list all factors for both numbers and pick the highest common one:

All factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

All factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

So the Greatest Common Factor for 140 and 200 is 20

Finding GCF for 140 and 200 by Prime Factorization

The second method to find GCF for numbers 140 and 200 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 140: 2, 2, 5, 7

All Prime Factors of 200: 2, 2, 2, 5, 5

As we can see there are Prime Factors common to both numbers: 2, 2, 5

Now we need to multiply them to find GCF: 2 × 2 × 5 = 20

GCF Table

Number 1Number 2GCF
125200
1262002
1272001
1282008
1292001
13020010
1312001
1322004
1332001
1342002
1352005
1362008
1372001
1382002
1392001
140200
1412001
1422002
1432001
1442008
1452005
1462002
1472001
1482004
1492001
150200
1512001
1522008
1532001
1542002

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 Divisor of 140 and 200? (The answer is: 20). Select the first number (e.g. '140') and the second number (e.g. '200'). 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 Divisor of 140 and 200?

GCF of 140 and 200 is 20