What is the Greatest Common Factor of 62717 and 62736?

Greatest common factor (GCF) of 62717 and 62736 is 1.

GCF(62717,62736) = 1

We will now calculate the prime factors of 62717 and 62736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62717 and 62736.

How to find the GCF of 62717 and 62736?

We will first find the prime factorization of 62717 and 62736. After we will calculate the factors of 62717 and 62736 and find the biggest common factor number .

Step-1: Prime Factorization of 62717

Prime factors of 62717 are 59, 1063. Prime factorization of 62717 in exponential form is:

62717 = 59¹ × 1063¹

Step-2: Prime Factorization of 62736

Prime factors of 62736 are 2, 3, 1307. Prime factorization of 62736 in exponential form is:

62736 = 2⁴ × 3¹ × 1307¹

Step-3: Factors of 62717

List of positive integer factors of 62717 that divides 62717 without a remainder.

1, 59, 1063

Step-4: Factors of 62736

List of positive integer factors of 62736 that divides 62717 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1307, 2614, 3921, 5228, 7842, 10456, 15684, 20912, 31368

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62717 and 62736. The biggest common factor number is the GCF number.
So the greatest common factor 62717 and 62736 is 1.

Also check out the Least Common Multiple of 62717 and 62736