Greatest Common Factor of 101 and 102

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 101, 102 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 101 and 102 is 1.

GCF(101,102) = 1

GCF of 101 and 102

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

GCF of:
and

Greatest Common Factor of 101 and 102

GCF of 101 and 102 is 1

Prime Factorization of 101


101 101
1

Prime factors of 101 are 101. Prime factorization of 101 in exponential form is:

101 = 1011

Prime Factorization of 102


2 102
3 51
17 17
1

Prime factors of 102 are 2.Prime factorization of 102 in exponential form is:

102 = 21×31×171

∴ So by taking common prime factors GCF of 101 and 102 is 1

Greatest Common Factor of 101 and 102 by matching factors method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors and prime factorization of 101 and 102. The biggest common factor number is the GCF number.
So the greatest common factor 101 and 102 is 1.

Also check out the Least Common Multiple of 101 and 102

Properties of GCF 101 and 102

(i) The GCF of 101 and 102 is associative

GCF of 101 and 102 = GCF of 102 and 101

Related Greatest Common Factor of 101

Related Greatest Common Factor of 102

Frequently Asked Questions on GCF of 101 and 102

1. What is the GCF of 101 and 102?

Answer: GCF of 101 and 102 is 1.

2. What are the Factors of 101?

Answer: Factors of 101 are 1, 101. There are 2 integers that are factors of 101. The greatest factor of 101 is 101.

3. What are the Factors of 102?

Answer: Factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102. There are 8 integers that are factors of 102. The greatest factor of 102 is 102.

4. How to Find the GCF of 101 and 102?

Answer:

Greatest Common Factor of 101 and 102 = 1

Step 1: Find the prime factorization of 101

101 = 101

Step 2: Find the prime factorization of 102

102 = 2 x 3 x 17

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 101 and 102 is 1