Greatest Common Factor of 977 and 985

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 977, 985 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 977 and 985 is 1.

GCF(977,985) = 1

GCF of 977 and 985

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

GCF of:
and

Greatest Common Factor of 977 and 985

GCF of 977 and 985 is 1

Prime Factorization of 977


977 977
1

Prime factors of 977 are 977. Prime factorization of 977 in exponential form is:

977 = 9771

Prime Factorization of 985


5 985
197 197
1

Prime factors of 985 are 5.Prime factorization of 985 in exponential form is:

985 = 51×1971

∴ So by taking common prime factors GCF of 977 and 985 is 1

Greatest Common Factor of 977 and 985 by matching factors method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors and prime factorization of 977 and 985. The biggest common factor number is the GCF number.
So the greatest common factor 977 and 985 is 1.

Also check out the Least Common Multiple of 977 and 985

Properties of GCF 977 and 985

(i) The GCF of 977 and 985 is associative

GCF of 977 and 985 = GCF of 985 and 977

Frequently Asked Questions on GCF of 977 and 985

1. What is the GCF of 977 and 985?

Answer: GCF of 977 and 985 is 1.

2. What are the Factors of 977?

Answer: Factors of 977 are 1, 977. There are 2 integers that are factors of 977. The greatest factor of 977 is 977.

3. What are the Factors of 985?

Answer: Factors of 985 are 1, 5, 197, 985. There are 4 integers that are factors of 985. The greatest factor of 985 is 985.

4. How to Find the GCF of 977 and 985?

Answer:

Greatest Common Factor of 977 and 985 = 1

Step 1: Find the prime factorization of 977

977 = 977

Step 2: Find the prime factorization of 985

985 = 5 x 197

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 977 and 985 is 1