What is the Greatest Common Factor of 62142 and 62151?

Greatest common factor (GCF) of 62142 and 62151 is 3.

GCF(62142,62151) = 3

We will now calculate the prime factors of 62142 and 62151, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62142 and 62151.

How to find the GCF of 62142 and 62151?

We will first find the prime factorization of 62142 and 62151. After we will calculate the factors of 62142 and 62151 and find the biggest common factor number .

Step-1: Prime Factorization of 62142

Prime factors of 62142 are 2, 3, 10357. Prime factorization of 62142 in exponential form is:

62142 = 2¹ × 3¹ × 10357¹

Step-2: Prime Factorization of 62151

Prime factors of 62151 are 3, 20717. Prime factorization of 62151 in exponential form is:

62151 = 3¹ × 20717¹

Step-3: Factors of 62142

List of positive integer factors of 62142 that divides 62142 without a remainder.

1, 2, 3, 6, 10357, 20714, 31071

Step-4: Factors of 62151

List of positive integer factors of 62151 that divides 62142 without a remainder.

1, 3, 20717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62142 and 62151. The biggest common factor number is the GCF number.
So the greatest common factor 62142 and 62151 is 3.

Also check out the Least Common Multiple of 62142 and 62151