What is the Greatest Common Factor of 62738 and 62751?

Greatest common factor (GCF) of 62738 and 62751 is 13.

GCF(62738,62751) = 13

We will now calculate the prime factors of 62738 and 62751, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62738 and 62751.

How to find the GCF of 62738 and 62751?

We will first find the prime factorization of 62738 and 62751. After we will calculate the factors of 62738 and 62751 and find the biggest common factor number .

Step-1: Prime Factorization of 62738

Prime factors of 62738 are 2, 13, 19, 127. Prime factorization of 62738 in exponential form is:

62738 = 2¹ × 13¹ × 19¹ × 127¹

Step-2: Prime Factorization of 62751

Prime factors of 62751 are 3, 13, 1609. Prime factorization of 62751 in exponential form is:

62751 = 3¹ × 13¹ × 1609¹

Step-3: Factors of 62738

List of positive integer factors of 62738 that divides 62738 without a remainder.

1, 2, 13, 19, 26, 38, 127, 247, 254, 494, 1651, 2413, 3302, 4826, 31369

Step-4: Factors of 62751

List of positive integer factors of 62751 that divides 62738 without a remainder.

1, 3, 13, 39, 1609, 4827, 20917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62738 and 62751. The biggest common factor number is the GCF number.
So the greatest common factor 62738 and 62751 is 13.

Also check out the Least Common Multiple of 62738 and 62751