Greatest Common Factor of 4981 and 4987

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

• Greatest Common Factor of 4981 and 4987 by prime factorization method
• Greatest Common Factor of 4981 and 4987 by matching factors method

Prime Factorization of 4981

Prime factors of 4981 are 17,293. Prime factorization of 4981 in exponential form is:

4981 = 17¹×293¹

Prime Factorization of 4987

Prime factors of 4987 are 4987. Prime factorization of 4987 in exponential form is:

4987 = 4987¹

∴ So by taking common prime factors GCF of 4981 and 4987 is 1

Factors of 4981

List of positive integer factors of 4981 that divides 4981 without a remainder.

1,17,293,4981

Factors of 4987

List of positive integer factors of 4987 that divides 4987 without a remainder.

1,4987

Greatest Common Factor

We found the factors and prime factorization of 4981 and 4987. The biggest common factor number is the GCF number.
So the greatest common factor 4981 and 4987 is 1.

Also check out the Least Common Multiple of 4981 and 4987

(i) The GCF of 4981 and 4987 is associative

GCF of 4981 and 4987 = GCF of 4987 and 4981

1. What is the GCF of 4981 and 4987?

Answer: GCF of 4981 and 4987 is 1.

2. What are the Factors of 4981?

Answer: Factors of 4981 are 1, 17, 293, 4981. There are 4 integers that are factors of 4981. The greatest factor of 4981 is 4981.

3. What are the Factors of 4987?

Answer: Factors of 4987 are 1, 4987. There are 2 integers that are factors of 4987. The greatest factor of 4987 is 4987.

4. How to Find the GCF of 4981 and 4987?

Answer:

Greatest Common Factor of 4981 and 4987 = 1

Step 1: Find the prime factorization of 4981

4981 = 17 x 293

Step 2: Find the prime factorization of 4987

4987 = 4987

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 4981 and 4987 is 1