What is the Greatest Common Factor of 62792 and 62806?

Greatest common factor (GCF) of 62792 and 62806 is 2.

GCF(62792,62806) = 2

We will now calculate the prime factors of 62792 and 62806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62792 and 62806.

How to find the GCF of 62792 and 62806?

We will first find the prime factorization of 62792 and 62806. After we will calculate the factors of 62792 and 62806 and find the biggest common factor number .

Step-1: Prime Factorization of 62792

Prime factors of 62792 are 2, 47, 167. Prime factorization of 62792 in exponential form is:

62792 = 2³ × 47¹ × 167¹

Step-2: Prime Factorization of 62806

Prime factors of 62806 are 2, 31, 1013. Prime factorization of 62806 in exponential form is:

62806 = 2¹ × 31¹ × 1013¹

Step-3: Factors of 62792

List of positive integer factors of 62792 that divides 62792 without a remainder.

1, 2, 4, 8, 47, 94, 167, 188, 334, 376, 668, 1336, 7849, 15698, 31396

Step-4: Factors of 62806

List of positive integer factors of 62806 that divides 62792 without a remainder.

1, 2, 31, 62, 1013, 2026, 31403

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62792 and 62806. The biggest common factor number is the GCF number.
So the greatest common factor 62792 and 62806 is 2.

Also check out the Least Common Multiple of 62792 and 62806