What is the Greatest Common Factor of 62734 and 62742?

Greatest common factor (GCF) of 62734 and 62742 is 2.

GCF(62734,62742) = 2

We will now calculate the prime factors of 62734 and 62742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62734 and 62742.

How to find the GCF of 62734 and 62742?

We will first find the prime factorization of 62734 and 62742. After we will calculate the factors of 62734 and 62742 and find the biggest common factor number .

Step-1: Prime Factorization of 62734

Prime factors of 62734 are 2, 7, 4481. Prime factorization of 62734 in exponential form is:

62734 = 2¹ × 7¹ × 4481¹

Step-2: Prime Factorization of 62742

Prime factors of 62742 are 2, 3, 10457. Prime factorization of 62742 in exponential form is:

62742 = 2¹ × 3¹ × 10457¹

Step-3: Factors of 62734

List of positive integer factors of 62734 that divides 62734 without a remainder.

1, 2, 7, 14, 4481, 8962, 31367

Step-4: Factors of 62742

List of positive integer factors of 62742 that divides 62734 without a remainder.

1, 2, 3, 6, 10457, 20914, 31371

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62734 and 62742. The biggest common factor number is the GCF number.
So the greatest common factor 62734 and 62742 is 2.

Also check out the Least Common Multiple of 62734 and 62742