What is the Greatest Common Factor of 62249 and 62256?

Greatest common factor (GCF) of 62249 and 62256 is 1.

GCF(62249,62256) = 1

We will now calculate the prime factors of 62249 and 62256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62249 and 62256.

How to find the GCF of 62249 and 62256?

We will first find the prime factorization of 62249 and 62256. After we will calculate the factors of 62249 and 62256 and find the biggest common factor number .

Step-1: Prime Factorization of 62249

Prime factors of 62249 are 11, 5659. Prime factorization of 62249 in exponential form is:

62249 = 11¹ × 5659¹

Step-2: Prime Factorization of 62256

Prime factors of 62256 are 2, 3, 1297. Prime factorization of 62256 in exponential form is:

62256 = 2⁴ × 3¹ × 1297¹

Step-3: Factors of 62249

List of positive integer factors of 62249 that divides 62249 without a remainder.

1, 11, 5659

Step-4: Factors of 62256

List of positive integer factors of 62256 that divides 62249 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1297, 2594, 3891, 5188, 7782, 10376, 15564, 20752, 31128

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62249 and 62256. The biggest common factor number is the GCF number.
So the greatest common factor 62249 and 62256 is 1.

Also check out the Least Common Multiple of 62249 and 62256