Greatest Common Factor of 124 and 131

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

• Greatest Common Factor of 124 and 131 by prime factorization method
• Greatest Common Factor of 124 and 131 by matching factors method

Prime Factorization of 124

Prime factors of 124 are 2,31. Prime factorization of 124 in exponential form is:

124 = 2²×31¹

Prime Factorization of 131

Prime factors of 131 are 131. Prime factorization of 131 in exponential form is:

131 = 131¹

∴ So by taking common prime factors GCF of 124 and 131 is 1

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors and prime factorization of 124 and 131. The biggest common factor number is the GCF number.
So the greatest common factor 124 and 131 is 1.

Also check out the Least Common Multiple of 124 and 131

(i) The GCF of 124 and 131 is associative

GCF of 124 and 131 = GCF of 131 and 124

1. What is the GCF of 124 and 131?

Answer: GCF of 124 and 131 is 1.

2. What are the Factors of 124?

Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.

3. What are the Factors of 131?

Answer: Factors of 131 are 1, 131. There are 2 integers that are factors of 131. The greatest factor of 131 is 131.

4. How to Find the GCF of 124 and 131?

Answer:

Greatest Common Factor of 124 and 131 = 1

Step 1: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 2: Find the prime factorization of 131

131 = 131

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 124 and 131 is 1