Greatest Common Factor of 3274 and 3277

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 3274, 3277 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3274 and 3277 is 1.

GCF(3274,3277) = 1

GCF of 3274 and 3277

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3274 and 3277

GCF of 3274 and 3277 is 1

Prime Factorization of 3274


2 3274
1637 1637
1

Prime factors of 3274 are 2,1637. Prime factorization of 3274 in exponential form is:

3274 = 21×16371

Prime Factorization of 3277


29 3277
113 113
1

Prime factors of 3277 are 29,113. Prime factorization of 3277 in exponential form is:

3277 = 291×1131

∴ So by taking common prime factors GCF of 3274 and 3277 is 1

Greatest Common Factor of 3274 and 3277 by matching factors method

Factors of 3274

List of positive integer factors of 3274 that divides 3274 without a remainder.

1,2,1637,3274

Factors of 3277

List of positive integer factors of 3277 that divides 3277 without a remainder.

1,29,113,3277

Greatest Common Factor

We found the factors and prime factorization of 3274 and 3277. The biggest common factor number is the GCF number.
So the greatest common factor 3274 and 3277 is 1.

Also check out the Least Common Multiple of 3274 and 3277

Properties of GCF 3274 and 3277

(i) The GCF of 3274 and 3277 is associative

GCF of 3274 and 3277 = GCF of 3277 and 3274

Frequently Asked Questions on GCF of 3274 and 3277

1. What is the GCF of 3274 and 3277?

Answer: GCF of 3274 and 3277 is 1.

2. What are the Factors of 3274?

Answer: Factors of 3274 are 1, 2, 1637, 3274. There are 4 integers that are factors of 3274. The greatest factor of 3274 is 3274.

3. What are the Factors of 3277?

Answer: Factors of 3277 are 1, 29, 113, 3277. There are 4 integers that are factors of 3277. The greatest factor of 3277 is 3277.

4. How to Find the GCF of 3274 and 3277?

Answer:

Greatest Common Factor of 3274 and 3277 = 1

Step 1: Find the prime factorization of 3274

3274 = 2 x 1637

Step 2: Find the prime factorization of 3277

3277 = 29 x 113

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 3274 and 3277 is 1